premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is old is not tall. Everyone who is not quiet is either curious or funny. If someone is both not rich and rich then john is either humble or not generous. If someone is either strong or not calm then someone is not tall or rich and vice versa. Everyone who is not wise or not creative is not humble or not s... | Paul is not quiet. | neutral | (![X]:(old(X)=>~tall(X)))&
(![X]:(~quiet(X)=>(curious(X)<~>funny(X))))&
((?[X]:((~rich(X)&rich(X))))=>((humble(john)<~>~generous(john))))&
((?[X]:((strong(X)<~>~calm(X))))<=>(?[X]:((~tall(X)|rich(X)))))&
(![X]:((~wise(X)|~creative(X))=>(~humble(X)|~strong(X))))&
(![X]:((~generous(X)|~humble(X))=>(old(X)&calm(X))))&
(((... | ~quiet(paul) | [] | null | 0 |
If alice is rich then someone is not quiet. If fred is both not calm and not curious then mary is patient or kind and vice versa. If someone is curious or creative then someone is either wise or not curious. Everyone who is not creative is either not brave or creative and vice versa. If mary is both not tall and calm t... | Alice is not brave. | entailment | ((rich(alice))=>(?[X]:(~quiet(X))))&
(((~calm(fred)&~curious(fred)))<=>((patient(mary)|kind(mary))))&
((?[X]:((curious(X)|creative(X))))=>(?[X]:((wise(X)<~>~curious(X)))))&
(![X]:(~creative(X)<=>(~brave(X)<~>creative(X))))&
(((~tall(mary)&calm(mary)))<=>(?[X]:((~creative(X)<~>~quiet(X)))))&
(((~strong(mary)|~creative(m... | ~brave(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5342346387218156662954511
% SZS output start Proof for 5342346387218156662954511
4. ! [X0] : (~creative(X0) <=> (~brave(X0) <~> creative(X0))) [input p3]
25. brave(alice) [input hypothesis]
46. ! [X0] : ((~creative(X0) | ((~brave(X0) | ~creative(X0)) & (creative(X0) | brave(X0)))) & (((~c... | 0 |
If paul is kind or not funny then someone is not brave.
If someone is both patient and brave then paul is not humble or not generous and vice versa.
Everyone who is not rich is both not strong and not tall.
Everyone who is both patient and not rich is both brave and not quiet.
Everyone who is both generous and wise is ... | Susan is funny. | contradiction | (((kind(paul)|~funny(paul)))=>(?[X]:(~brave(X))))&
((?[X]:((patient(X)&brave(X))))<=>((~humble(paul)|~generous(paul))))&
(![X]:(~rich(X)=>(~strong(X)&~tall(X))))&
(![X]:((patient(X)&~rich(X))=>(brave(X)&~quiet(X))))&
(![X]:((generous(X)&wise(X))<=>(funny(X)<~>creative(X))))&
(![X]:((~strong(X)|rich(X))<=>(~rich(X)<~>~p... | funny(susan) | [
"p2",
"p4",
"p7",
"p9",
"p10",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6519656559334244876613291
% SZS output start Proof for 6519656559334244876613291
3. ! [X0] : (~rich(X0) => (~tall(X0) & ~strong(X0))) [input p2]
5. ! [X0] : ((wise(X0) & generous(X0)) <=> (funny(X0) <~> creative(X0))) [input p4]
8. (wise(susan) <~> funny(susan)) <=> ? [X0] : (~happy(X0) <... | 0 |
If someone is wise or humble then alice is patient and vice versa.
If susan is either rich or humble then mary is old.
Everyone who is either happy or quiet is either not generous or happy and vice versa.
Everyone who is both funny and patient is both wise and not calm and vice versa.
If someone is both funny and tall ... | Mary is not calm. | contradiction | ((?[X]:((wise(X)|humble(X))))<=>(patient(alice)))&
(((rich(susan)<~>humble(susan)))=>(old(mary)))&
(![X]:((happy(X)<~>quiet(X))<=>(~generous(X)<~>happy(X))))&
(![X]:((funny(X)&patient(X))<=>(wise(X)&~calm(X))))&
((?[X]:((funny(X)&tall(X))))<=>(?[X]:((curious(X)<~>~quiet(X)))))&
(((patient(fred)&~patient(fred)))=>(?[X]:... | ~calm(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3146677475911060268161166
% SZS output start Proof for 3146677475911060268161166
7. ! [X0] : (~patient(X0) <=> (patient(X0) | calm(X0))) [input p6]
20. ~calm(mary) [input hypothesis]
42. ! [X0] : ((~patient(X0) | (~patient(X0) & ~calm(X0))) & ((patient(X0) | calm(X0)) | patient(X0))) [nnf... | 0 |
Everyone who is patient or not tall is brave.
Everyone who is not tall or not kind is either not strong or not calm.
Everyone who is strong or brave is both not strong and creative.
If john is not kind or tall then john is both not brave and generous.
Everyone who is both not generous and wise is not calm and vice vers... | John is not creative. | contradiction | (![X]:((patient(X)|~tall(X))=>brave(X)))&
(![X]:((~tall(X)|~kind(X))=>(~strong(X)<~>~calm(X))))&
(![X]:((strong(X)|brave(X))=>(~strong(X)&creative(X))))&
(((~kind(john)|tall(john)))=>((~brave(john)&generous(john))))&
(![X]:((~generous(X)&wise(X))<=>~calm(X)))&
((?[X]:((humble(X)&rich(X))))<=>(~old(john)))&
(((funny(mar... | ~creative(john) | [
"p0",
"p2",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7053003923968864706838711
% SZS output start Proof for 7053003923968864706838711
1. ! [X0] : ((~tall(X0) | patient(X0)) => brave(X0)) [input p0]
3. ! [X0] : ((brave(X0) | strong(X0)) => (creative(X0) & ~strong(X0))) [input p2]
8. ! [X0] : ((rich(X0) & ~strong(X0)) => strong(X0)) [input p7... | 0 |
If someone is tall then susan is both generous and wise. Everyone who is either humble or patient is either not brave or not creative. Everyone who is both not happy and not generous is both calm and curious. If someone is tall or patient then someone is either not patient or not quiet. Everyone who is kind or generous... | John is not tall. | entailment | ((?[X]:(tall(X)))=>((generous(susan)&wise(susan))))&
(![X]:((humble(X)<~>patient(X))=>(~brave(X)<~>~creative(X))))&
(![X]:((~happy(X)&~generous(X))=>(calm(X)&curious(X))))&
((?[X]:((tall(X)|patient(X))))=>(?[X]:((~patient(X)<~>~quiet(X)))))&
(![X]:((kind(X)|generous(X))=>(strong(X)<~>~generous(X))))&
(![X]:((happy(X)<~... | ~tall(john) | [
"p0",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3558869027424796991972840
% SZS output start Proof for 3558869027424796991972840
1. ? [X0] : tall(X0) => (wise(susan) & generous(susan)) [input p0]
5. ! [X0] : ((generous(X0) | kind(X0)) => (strong(X0) <~> ~generous(X0))) [input p4]
9. ! [X0] : ((~strong(X0) & ~kind(X0)) <=> (~kind(X0) | ... | 0 |
Everyone who is either patient or brave is both strong and not strong.
If alice is not generous or patient then someone is old or brave and vice versa.
Everyone who is not happy or not creative is both kind and generous and vice versa.
If someone is either not tall or calm then someone is both rich and creative.
If ali... | Lucy is happy. | neutral | (![X]:((patient(X)<~>brave(X))=>(strong(X)&~strong(X))))&
(((~generous(alice)|patient(alice)))<=>(?[X]:((old(X)|brave(X)))))&
(![X]:((~happy(X)|~creative(X))<=>(kind(X)&generous(X))))&
((?[X]:((~tall(X)<~>calm(X))))=>(?[X]:((rich(X)&creative(X)))))&
(((~brave(alice)<~>~rich(alice)))<=>((curious(alice)<~>~rich(alice))))... | happy(lucy) | [] | null | 0 |
Everyone who is both creative and brave is either not brave or happy.
If mary is not kind then john is either not wise or humble.
Everyone who is not wise or not patient is both not old and old and vice versa.
Everyone who is either generous or curious is either not funny or rich and vice versa.
Everyone who is brave o... | Mary is kind. | neutral | (![X]:((creative(X)&brave(X))=>(~brave(X)<~>happy(X))))&
((~kind(mary))=>((~wise(john)<~>humble(john))))&
(![X]:((~wise(X)|~patient(X))<=>(~old(X)&old(X))))&
(![X]:((generous(X)<~>curious(X))<=>(~funny(X)<~>rich(X))))&
(![X]:((brave(X)|~brave(X))=>(~funny(X)|humble(X))))&
(![X]:((curious(X)<~>kind(X))<=>(~kind(X)<~>~pa... | kind(mary) | [] | null | 0 |
Everyone who is not patient or not creative is curious or funny. Everyone who is both happy and calm is both not brave and not tall. Everyone who is strong is both calm and generous. Everyone who is both calm and tall is not generous. Everyone who is not brave is both not funny and not calm. If someone is both not gene... | John is brave. | entailment | (![X]:((~patient(X)|~creative(X))=>(curious(X)|funny(X))))&
(![X]:((happy(X)&calm(X))=>(~brave(X)&~tall(X))))&
(![X]:(strong(X)=>(calm(X)&generous(X))))&
(![X]:((calm(X)&tall(X))=>~generous(X)))&
(![X]:(~brave(X)=>(~funny(X)&~calm(X))))&
((?[X]:((~generous(X)&humble(X))))<=>((quiet(john)&generous(john))))&
(![X]:((happ... | brave(john) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4775440597944602402933327
% SZS output start Proof for 4775440597944602402933327
5. ! [X0] : (~brave(X0) => (~calm(X0) & ~funny(X0))) [input p4]
7. ! [X0] : ((funny(X0) & happy(X0)) <=> ~brave(X0)) [input p6]
23. ~brave(john) [input hypothesis]
36. ! [X0] : ((~calm(X0) & ~funny(X0)) | bra... | 0 |
Everyone who is tall is both rich and happy and vice versa. Everyone who is both not generous and not creative is not happy. Everyone who is either not curious or wise is rich or not wise and vice versa. If lucy is either strong or not humble then someone is not old or brave and vice versa. If someone is not creative t... | Paul is wise. | entailment | (![X]:(tall(X)<=>(rich(X)&happy(X))))&
(![X]:((~generous(X)&~creative(X))=>~happy(X)))&
(![X]:((~curious(X)<~>wise(X))<=>(rich(X)|~wise(X))))&
(((strong(lucy)<~>~humble(lucy)))<=>(?[X]:((~old(X)|brave(X)))))&
((?[X]:(~creative(X)))<=>(~humble(fred)))&
(![X]:(tall(X)=>brave(X)))&
(![X]:(~wise(X)=>(wise(X)&happy(X))))&
(... | wise(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2499582892120532932406641
% SZS output start Proof for 2499582892120532932406641
7. ! [X0] : (~wise(X0) => (happy(X0) & wise(X0))) [input p6]
24. ~wise(paul) [input hypothesis]
28. ! [X0] : ((happy(X0) & wise(X0)) | wise(X0)) [ennf transformation 7]
82. wise(X0) | wise(X0) [cnf transforma... | 0 |
Everyone who is both not strong and not tall is either not patient or not creative.
Everyone who is either curious or not humble is both happy and generous and vice versa.
If mary is both not generous and old then someone is both old and tall.
Everyone who is both funny and not quiet is both not tall and wise and vice ... | Lucy is not kind. | neutral | (![X]:((~strong(X)&~tall(X))=>(~patient(X)<~>~creative(X))))&
(![X]:((curious(X)<~>~humble(X))<=>(happy(X)&generous(X))))&
(((~generous(mary)&old(mary)))=>(?[X]:((old(X)&tall(X)))))&
(![X]:((funny(X)&~quiet(X))<=>(~tall(X)&wise(X))))&
((~generous(lucy))<=>(?[X]:(strong(X))))&
(![X]:((~generous(X)|~humble(X))<=>(~calm(X... | ~kind(lucy) | [] | null | 0 |
If fred is both not creative and not happy then someone is not happy and vice versa.
Everyone who is not old or not curious is either curious or wise and vice versa.
Everyone who is not quiet or not kind is both creative and not old and vice versa.
If someone is either not curious or not brave then someone is not happy... | Mary is not happy. | contradiction | (((~creative(fred)&~happy(fred)))<=>(?[X]:(~happy(X))))&
(![X]:((~old(X)|~curious(X))<=>(curious(X)<~>wise(X))))&
(![X]:((~quiet(X)|~kind(X))<=>(creative(X)&~old(X))))&
((?[X]:((~curious(X)<~>~brave(X))))=>(?[X]:((~happy(X)|calm(X)))))&
(![X]:((generous(X)&curious(X))<=>(humble(X)|~quiet(X))))&
((?[X]:(~funny(X)))<=>(?... | ~happy(mary) | [
"p0",
"p4",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8529568134330235411364168
% SZS output start Proof for 8529568134330235411364168
1. (~happy(fred) & ~creative(fred)) <=> ? [X0] : ~happy(X0) [input p0]
5. ! [X0] : ((curious(X0) & generous(X0)) <=> (~quiet(X0) | humble(X0))) [input p4]
8. ! [X0] : ((~funny(X0) & ~generous(X0)) <=> (~happy... | 0 |
If lucy is both not brave and funny then alice is patient or not old and vice versa. Everyone who is both tall and not calm is strong or old. Everyone who is both brave and happy is tall and vice versa. Everyone who is kind is both not generous and not happy. Everyone who is quiet or not quiet is both not rich and not ... | Lucy is tall. | contradiction | (((~brave(lucy)&funny(lucy)))<=>((patient(alice)|~old(alice))))&
(![X]:((tall(X)&~calm(X))=>(strong(X)|old(X))))&
(![X]:((brave(X)&happy(X))<=>tall(X)))&
(![X]:(kind(X)=>(~generous(X)&~happy(X))))&
(![X]:((quiet(X)|~quiet(X))<=>(~rich(X)&~kind(X))))&
((?[X]:((~generous(X)&funny(X))))<=>(?[X]:((~kind(X)&humble(X)))))&
(... | tall(lucy) | [
"p2",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8743778004785494840158424
% SZS output start Proof for 8743778004785494840158424
3. ! [X0] : ((happy(X0) & brave(X0)) <=> tall(X0)) [input p2]
13. ! [X0] : ((patient(X0) | happy(X0)) => (quiet(X0) <~> happy(X0))) [input p12]
17. quiet(lucy) | ~brave(lucy) [input p16]
24. tall(lucy) [input... | 0 |
If john is either not curious or not humble then someone is either happy or not creative and vice versa. Everyone who is not kind is not wise. Everyone who is both patient and strong is both not happy and generous and vice versa. Everyone who is either not funny or generous is either not calm or humble and vice versa. ... | Susan is calm. | contradiction | (((~curious(john)<~>~humble(john)))<=>(?[X]:((happy(X)<~>~creative(X)))))&
(![X]:(~kind(X)=>~wise(X)))&
(![X]:((patient(X)&strong(X))<=>(~happy(X)&generous(X))))&
(![X]:((~funny(X)<~>generous(X))<=>(~calm(X)<~>humble(X))))&
(![X]:((~rich(X)&~brave(X))<=>(calm(X)&brave(X))))&
(![X]:((brave(X)|creative(X))<=>~patient(X))... | calm(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8274282054884510120731343
% SZS output start Proof for 8274282054884510120731343
11. ! [X0] : ((~humble(X0) | humble(X0)) <=> ~calm(X0)) [input p10]
25. calm(susan) [input hypothesis]
50. ! [X0] : (((~humble(X0) | humble(X0)) | calm(X0)) & (~calm(X0) | (humble(X0) & ~humble(X0)))) [nnf tr... | 0 |
Everyone who is either humble or wise is rich and vice versa. Everyone who is both rich and not patient is quiet or brave and vice versa. If lucy is either not calm or not curious then paul is either not strong or kind and vice versa. If someone is not wise then paul is either strong or not old. Everyone who is rich is... | Lucy is strong. | neutral | (![X]:((humble(X)<~>wise(X))<=>rich(X)))&
(![X]:((rich(X)&~patient(X))<=>(quiet(X)|brave(X))))&
(((~calm(lucy)<~>~curious(lucy)))<=>((~strong(paul)<~>kind(paul))))&
((?[X]:(~wise(X)))=>((strong(paul)<~>~old(paul))))&
(![X]:(rich(X)<=>(calm(X)&wise(X))))&
(![X]:((~generous(X)|funny(X))<=>(patient(X)|~strong(X))))&
(![X]... | strong(lucy) | [] | null | 0 |
Everyone who is either not strong or not kind is not rich.
Everyone who is humble is brave.
If paul is curious or funny then someone is both not funny and not happy.
Everyone who is both not creative and calm is both not rich and kind and vice versa.
Everyone who is either creative or not brave is either not happy or n... | Alice is curious. | contradiction | (![X]:((~strong(X)<~>~kind(X))=>~rich(X)))&
(![X]:(humble(X)=>brave(X)))&
(((curious(paul)|funny(paul)))=>(?[X]:((~funny(X)&~happy(X)))))&
(![X]:((~creative(X)&calm(X))<=>(~rich(X)&kind(X))))&
(![X]:((creative(X)<~>~brave(X))<=>(~happy(X)<~>~rich(X))))&
(((~tall(john)|~quiet(john)))=>((creative(alice)|tall(alice))))&
(... | curious(alice) | [
"p1",
"p4",
"p6",
"p7",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6588182853192347400886542
% SZS output start Proof for 6588182853192347400886542
2. ! [X0] : (humble(X0) => brave(X0)) [input p1]
5. ! [X0] : ((creative(X0) <~> ~brave(X0)) <=> (~happy(X0) <~> ~rich(X0))) [input p4]
7. ! [X0] : ((curious(X0) <~> ~rich(X0)) => (~creative(X0) <~> ~humble(X0... | 0 |
Everyone who is either curious or not old is either not happy or tall.
Everyone who is both not funny and calm is both not old and not happy and vice versa.
If someone is not generous or not strong then someone is not kind or not old.
Everyone who is both not patient and curious is either not wise or not quiet.
Everyon... | Alice is not kind. | neutral | (![X]:((curious(X)<~>~old(X))=>(~happy(X)<~>tall(X))))&
(![X]:((~funny(X)&calm(X))<=>(~old(X)&~happy(X))))&
((?[X]:((~generous(X)|~strong(X))))=>(?[X]:((~kind(X)|~old(X)))))&
(![X]:((~patient(X)&curious(X))=>(~wise(X)<~>~quiet(X))))&
(![X]:((patient(X)&curious(X))<=>(quiet(X)|~brave(X))))&
(![X]:((tall(X)&old(X))<=>(~s... | ~kind(alice) | [] | null | 0 |
Everyone who is both happy and not old is not quiet.
Everyone who is either not brave or not wise is both creative and tall and vice versa.
If someone is both not old and patient then lucy is both not old and old.
If susan is not tall or not strong then someone is not humble or tall and vice versa.
Everyone who is eith... | Susan is not strong. | contradiction | (![X]:((happy(X)&~old(X))=>~quiet(X)))&
(![X]:((~brave(X)<~>~wise(X))<=>(creative(X)&tall(X))))&
((?[X]:((~old(X)&patient(X))))=>((~old(lucy)&old(lucy))))&
(((~tall(susan)|~strong(susan)))<=>(?[X]:((~humble(X)|tall(X)))))&
(![X]:((~kind(X)<~>~rich(X))<=>kind(X)))&
(![X]:((~rich(X)<~>~brave(X))<=>(~wise(X)<~>happy(X))))... | ~strong(susan) | [
"p1",
"p4",
"p5",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3158055764779942831953528
% SZS output start Proof for 3158055764779942831953528
2. ! [X0] : ((~brave(X0) <~> ~wise(X0)) <=> (tall(X0) & creative(X0))) [input p1]
5. ! [X0] : ((~kind(X0) <~> ~rich(X0)) <=> kind(X0)) [input p4]
6. ! [X0] : ((~rich(X0) <~> ~brave(X0)) <=> (~wise(X0) <~> hap... | 0 |
Everyone who is both kind and not creative is both not curious and not creative and vice versa.
Everyone who is both calm and not rich is either not kind or not brave.
Everyone who is not quiet or brave is both curious and happy.
If paul is either calm or quiet then fred is either patient or humble and vice versa.
Ever... | John is not wise. | neutral | (![X]:((kind(X)&~creative(X))<=>(~curious(X)&~creative(X))))&
(![X]:((calm(X)&~rich(X))=>(~kind(X)<~>~brave(X))))&
(![X]:((~quiet(X)|brave(X))=>(curious(X)&happy(X))))&
(((calm(paul)<~>quiet(paul)))<=>((patient(fred)<~>humble(fred))))&
(![X]:((~creative(X)|quiet(X))=>(~humble(X)&~kind(X))))&
(((wise(mary)&creative(mary... | ~wise(john) | [] | null | 0 |
Everyone who is old or strong is either happy or not tall and vice versa.
Everyone who is brave or tall is not creative or not happy and vice versa.
Everyone who is both not brave and not funny is happy.
If someone is funny then john is either not funny or not brave and vice versa.
If someone is not calm or quiet then ... | John is brave. | neutral | (![X]:((old(X)|strong(X))<=>(happy(X)<~>~tall(X))))&
(![X]:((brave(X)|tall(X))<=>(~creative(X)|~happy(X))))&
(![X]:((~brave(X)&~funny(X))=>happy(X)))&
((?[X]:(funny(X)))<=>((~funny(john)<~>~brave(john))))&
((?[X]:((~calm(X)|quiet(X))))=>((~calm(lucy)&~rich(lucy))))&
((?[X]:((~rich(X)<~>old(X))))<=>(?[X]:((old(X)&tall(X... | brave(john) | [] | null | 0 |
If susan is patient then susan is not funny or not calm and vice versa. Everyone who is either not generous or not patient is not wise and vice versa. Everyone who is happy or calm is either quiet or tall. Everyone who is patient or not kind is either rich or funny. If john is creative or not patient then john is creat... | Susan is rich. | entailment | ((patient(susan))<=>((~funny(susan)|~calm(susan))))&
(![X]:((~generous(X)<~>~patient(X))<=>~wise(X)))&
(![X]:((happy(X)|calm(X))=>(quiet(X)<~>tall(X))))&
(![X]:((patient(X)|~kind(X))=>(rich(X)<~>funny(X))))&
(((creative(john)|~patient(john)))<=>(creative(john)))&
(![X]:((curious(X)<~>calm(X))=>(~happy(X)|~tall(X))))&
(... | rich(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8632453375070817034666195
% SZS output start Proof for 8632453375070817034666195
15. ! [X0] : (~humble(X0) <=> (~humble(X0) <~> ~rich(X0))) [input p14]
24. ~rich(susan) [input hypothesis]
57. ! [X0] : ((~humble(X0) | ((~humble(X0) | rich(X0)) & (~rich(X0) | humble(X0)))) & (((rich(X0) | h... | 0 |
Everyone who is either tall or generous is calm or not generous and vice versa. Everyone who is not generous is both not tall and not quiet. If fred is strong then lucy is not brave or not curious. Everyone who is not quiet or generous is not humble and vice versa. If mary is not quiet then mary is funny or creative. I... | Alice is kind. | contradiction | (![X]:((tall(X)<~>generous(X))<=>(calm(X)|~generous(X))))&
(![X]:(~generous(X)=>(~tall(X)&~quiet(X))))&
((strong(fred))=>((~brave(lucy)|~curious(lucy))))&
(![X]:((~quiet(X)|generous(X))<=>~humble(X)))&
((~quiet(mary))=>((funny(mary)|creative(mary))))&
((?[X]:((~calm(X)<~>~kind(X))))<=>((~curious(susan)&~generous(susan)... | kind(alice) | [
"p0",
"p1",
"p5",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1261546254400834975953354
% SZS output start Proof for 1261546254400834975953354
1. ! [X0] : ((tall(X0) <~> generous(X0)) <=> (~generous(X0) | calm(X0))) [input p0]
2. ! [X0] : (~generous(X0) => (~quiet(X0) & ~tall(X0))) [input p1]
6. ? [X0] : (~calm(X0) <~> ~kind(X0)) <=> (~generous(susa... | 0 |
Everyone who is not rich or not funny is not funny or not tall. Everyone who is wise or not kind is both not quiet and humble. If mary is both not strong and kind then john is either funny or tall. Everyone who is not happy is wise and vice versa. If susan is not tall or not quiet then mary is funny or not funny. If pa... | Lucy is not strong. | neutral | (![X]:((~rich(X)|~funny(X))=>(~funny(X)|~tall(X))))&
(![X]:((wise(X)|~kind(X))=>(~quiet(X)&humble(X))))&
(((~strong(mary)&kind(mary)))=>((funny(john)<~>tall(john))))&
(![X]:(~happy(X)<=>wise(X)))&
(((~tall(susan)|~quiet(susan)))=>((funny(mary)|~funny(mary))))&
(((rich(paul)<~>~brave(paul)))<=>((happy(john)|strong(john)... | ~strong(lucy) | [] | null | 0 |
Everyone who is generous is calm or tall. If fred is both not generous and wise then john is either not wise or calm. If fred is either not strong or not rich then lucy is brave and vice versa. Everyone who is old or brave is brave or not quiet and vice versa. Everyone who is either patient or old is either humble or f... | Paul is strong. | entailment | (![X]:(generous(X)=>(calm(X)|tall(X))))&
(((~generous(fred)&wise(fred)))=>((~wise(john)<~>calm(john))))&
(((~strong(fred)<~>~rich(fred)))<=>(brave(lucy)))&
(![X]:((old(X)|brave(X))<=>(brave(X)|~quiet(X))))&
(![X]:((patient(X)<~>old(X))<=>(humble(X)<~>funny(X))))&
(((~kind(lucy)<~>~calm(lucy)))<=>(~humble(paul)))&
(![X]... | strong(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4155067736541524835880978
% SZS output start Proof for 4155067736541524835880978
10. ! [X0] : ((strong(X0) & ~calm(X0)) <=> ~strong(X0)) [input p9]
25. ~strong(paul) [input hypothesis]
49. ! [X0] : (((strong(X0) & ~calm(X0)) | strong(X0)) & (~strong(X0) | (~strong(X0) | calm(X0)))) [nnf t... | 0 |
If paul is not funny then mary is both not patient and not calm. Everyone who is either kind or not generous is both funny and calm and vice versa. Everyone who is either not strong or not brave is not kind. If someone is both not humble and patient then someone is both not patient and not strong. Everyone who is not b... | John is wise. | entailment | ((~funny(paul))=>((~patient(mary)&~calm(mary))))&
(![X]:((kind(X)<~>~generous(X))<=>(funny(X)&calm(X))))&
(![X]:((~strong(X)<~>~brave(X))=>~kind(X)))&
((?[X]:((~humble(X)&patient(X))))=>(?[X]:((~patient(X)&~strong(X)))))&
(![X]:(~brave(X)<=>~calm(X)))&
(![X]:((~funny(X)&~quiet(X))=>~calm(X)))&
(![X]:((wise(X)<~>patient... | wise(john) | [
"p4",
"p10",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3663808712973780249371248
% SZS output start Proof for 3663808712973780249371248
5. ! [X0] : (~brave(X0) <=> ~calm(X0)) [input p4]
11. (~brave(paul) & ~generous(paul)) <=> ? [X0] : (~curious(X0) | ~patient(X0)) [input p10]
12. ! [X0] : ((calm(X0) & ~patient(X0)) <=> (~old(X0) | ~calm(X0))... | 0 |
Everyone who is rich is both not patient and not happy.
Everyone who is humble or calm is both tall and not funny.
If someone is either wise or quiet then someone is generous and vice versa.
Everyone who is not calm is funny or not curious and vice versa.
If mary is strong or not calm then someone is either strong or n... | John is wise. | entailment | (![X]:(rich(X)=>(~patient(X)&~happy(X))))&
(![X]:((humble(X)|calm(X))=>(tall(X)&~funny(X))))&
((?[X]:((wise(X)<~>quiet(X))))<=>(?[X]:(generous(X))))&
(![X]:(~calm(X)<=>(funny(X)|~curious(X))))&
(((strong(mary)|~calm(mary)))=>(?[X]:((strong(X)<~>~quiet(X)))))&
(![X]:((~patient(X)|creative(X))<=>~humble(X)))&
(![X]:((str... | wise(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1505863934535765675792688
% SZS output start Proof for 1505863934535765675792688
12. (wise(john) & ~quiet(john)) <=> (~old(lucy) <~> old(lucy)) [input p11]
25. ~wise(john) [input hypothesis]
51. ((wise(john) & ~quiet(john)) | ((~old(lucy) | ~old(lucy)) & (old(lucy) | old(lucy)))) & (((~ol... | 0 |
Everyone who is quiet is not funny.
If someone is either not quiet or generous then mary is both not brave and not creative and vice versa.
Everyone who is not kind is either not tall or not brave.
Everyone who is not wise is either funny or not happy.
Everyone who is both not humble and not kind is both not curious an... | Mary is not happy. | neutral | (![X]:(quiet(X)=>~funny(X)))&
((?[X]:((~quiet(X)<~>generous(X))))<=>((~brave(mary)&~creative(mary))))&
(![X]:(~kind(X)=>(~tall(X)<~>~brave(X))))&
(![X]:(~wise(X)=>(funny(X)<~>~happy(X))))&
(![X]:((~humble(X)&~kind(X))=>(~curious(X)&tall(X))))&
(![X]:((~old(X)|rich(X))<=>~quiet(X)))&
(((kind(fred)<~>~old(fred)))=>((quie... | ~happy(mary) | [] | null | 0 |
If alice is patient then john is either tall or kind. Everyone who is both old and creative is not quiet or curious and vice versa. Everyone who is not curious or not generous is either not strong or calm. If paul is either not creative or rich then lucy is not tall or not kind and vice versa. If mary is not kind or ha... | Susan is happy. | entailment | ((patient(alice))=>((tall(john)<~>kind(john))))&
(![X]:((old(X)&creative(X))<=>(~quiet(X)|curious(X))))&
(![X]:((~curious(X)|~generous(X))=>(~strong(X)<~>calm(X))))&
(((~creative(paul)<~>rich(paul)))<=>((~tall(lucy)|~kind(lucy))))&
(((~kind(mary)|happy(mary)))=>(patient(alice)))&
(((calm(paul)<~>kind(paul)))=>((kind(jo... | happy(susan) | [
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5884886245893565985459354
% SZS output start Proof for 5884886245893565985459354
7. ! [X0] : ((~generous(X0) | ~happy(X0)) => (rich(X0) | ~creative(X0))) [input p6]
12. ! [X0] : ((~creative(X0) | funny(X0)) <=> (happy(X0) & quiet(X0))) [input p11]
14. ! [X0] : ((~funny(X0) & rich(X0)) => ... | 0 |
If mary is either not kind or humble then john is wise.
Everyone who is not curious is both quiet and curious and vice versa.
Everyone who is both not strong and not happy is calm or creative.
If susan is either not funny or kind then someone is both not strong and kind and vice versa.
Everyone who is either old or fun... | Susan is not strong. | contradiction | (((~kind(mary)<~>humble(mary)))=>(wise(john)))&
(![X]:(~curious(X)<=>(quiet(X)&curious(X))))&
(![X]:((~strong(X)&~happy(X))=>(calm(X)|creative(X))))&
(((~funny(susan)<~>kind(susan)))<=>(?[X]:((~strong(X)&kind(X)))))&
(![X]:((old(X)<~>funny(X))<=>calm(X)))&
(![X]:(generous(X)<=>~happy(X)))&
(![X]:(~patient(X)=>quiet(X))... | ~strong(susan) | [
"p1",
"p4",
"p5",
"p6",
"p8",
"p9",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4373330854175750156998279
% SZS output start Proof for 4373330854175750156998279
2. ! [X0] : (~curious(X0) <=> (curious(X0) & quiet(X0))) [input p1]
5. ! [X0] : ((old(X0) <~> funny(X0)) <=> calm(X0)) [input p4]
6. ! [X0] : (generous(X0) <=> ~happy(X0)) [input p5]
7. ! [X0] : (~patient(X0)... | 0 |
Everyone who is creative or not happy is both not tall and calm and vice versa.
Everyone who is not curious is either not happy or not brave and vice versa.
Everyone who is curious is not generous or not creative.
Everyone who is either not calm or not brave is both patient and not kind.
Everyone who is not patient is ... | Alice is funny. | entailment | (![X]:((creative(X)|~happy(X))<=>(~tall(X)&calm(X))))&
(![X]:(~curious(X)<=>(~happy(X)<~>~brave(X))))&
(![X]:(curious(X)=>(~generous(X)|~creative(X))))&
(![X]:((~calm(X)<~>~brave(X))=>(patient(X)&~kind(X))))&
(![X]:(~patient(X)<=>(~wise(X)<~>humble(X))))&
((?[X]:((~happy(X)<~>~strong(X))))=>(funny(alice)))&
(![X]:(~fun... | funny(alice) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4875917321002342681471949
% SZS output start Proof for 4875917321002342681471949
1. ! [X0] : ((~happy(X0) | creative(X0)) <=> (calm(X0) & ~tall(X0))) [input p0]
4. ! [X0] : ((~calm(X0) <~> ~brave(X0)) => (~kind(X0) & patient(X0))) [input p3]
5. ! [X0] : (~patient(X0) <=> (~wise(X0) <~> hu... | 0 |
Everyone who is either not wise or not patient is both not kind and not generous.
If someone is funny then fred is either wise or not strong.
Everyone who is brave is either old or not funny and vice versa.
Everyone who is not humble or generous is both quiet and not curious.
If mary is strong then fred is patient or b... | Mary is not calm. | entailment | (![X]:((~wise(X)<~>~patient(X))=>(~kind(X)&~generous(X))))&
((?[X]:(funny(X)))=>((wise(fred)<~>~strong(fred))))&
(![X]:(brave(X)<=>(old(X)<~>~funny(X))))&
(![X]:((~humble(X)|generous(X))=>(quiet(X)&~curious(X))))&
((strong(mary))=>((patient(fred)|brave(fred))))&
((?[X]:((~wise(X)|rich(X))))<=>(?[X]:((strong(X)&generous... | ~calm(mary) | [
"p10",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5948061784298457965984791
% SZS output start Proof for 5948061784298457965984791
11. ? [X0] : (wise(X0) & ~wise(X0)) <=> ? [X0] : rich(X0) [input p10]
14. ? [X0] : (~brave(X0) | wise(X0)) => ? [X0] : rich(X0) [input p13]
20. ~calm(mary) | wise(mary) [input p19]
23. calm(mary) [input hypot... | 0 |
Everyone who is patient is happy or patient.
Everyone who is not funny or calm is wise and vice versa.
Everyone who is not rich or not generous is not brave and vice versa.
If paul is not humble then someone is either not humble or not rich.
If someone is not kind or rich then someone is either rich or kind and vice ve... | Lucy is not creative. | entailment | (![X]:(patient(X)=>(happy(X)|patient(X))))&
(![X]:((~funny(X)|calm(X))<=>wise(X)))&
(![X]:((~rich(X)|~generous(X))<=>~brave(X)))&
((~humble(paul))=>(?[X]:((~humble(X)<~>~rich(X)))))&
((?[X]:((~kind(X)|rich(X))))<=>(?[X]:((rich(X)<~>kind(X)))))&
(![X]:((~brave(X)&strong(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((calm(X)&... | ~creative(lucy) | [
"p2",
"p6",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2605611483602518832770707
% SZS output start Proof for 2605611483602518832770707
3. ! [X0] : ((~generous(X0) | ~rich(X0)) <=> ~brave(X0)) [input p2]
7. ! [X0] : ((rich(X0) & calm(X0)) <=> (old(X0) | ~brave(X0))) [input p6]
10. ? [X0] : (~old(X0) | creative(X0)) => (strong(lucy) | ~creativ... | 0 |
Everyone who is not tall or funny is not brave and vice versa.
If susan is curious or strong then john is both not quiet and not happy and vice versa.
Everyone who is both not calm and not funny is creative and vice versa.
If paul is both not rich and tall then john is not kind and vice versa.
Everyone who is either no... | Alice is not strong. | contradiction | (![X]:((~tall(X)|funny(X))<=>~brave(X)))&
(((curious(susan)|strong(susan)))<=>((~quiet(john)&~happy(john))))&
(![X]:((~calm(X)&~funny(X))<=>creative(X)))&
(((~rich(paul)&tall(paul)))<=>(~kind(john)))&
(![X]:((~rich(X)<~>happy(X))=>(~brave(X)|humble(X))))&
(![X]:((quiet(X)|~kind(X))<=>(generous(X)&~strong(X))))&
(((old(... | ~strong(alice) | [
"p5",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2057040688957679583616800
% SZS output start Proof for 2057040688957679583616800
6. ! [X0] : ((~kind(X0) | quiet(X0)) <=> (~strong(X0) & generous(X0))) [input p5]
10. ! [X0] : ((~old(X0) | ~strong(X0)) <=> (~kind(X0) & happy(X0))) [input p9]
19. humble(alice) & ~generous(alice) [input p18... | 0 |
Everyone who is either not brave or not calm is not patient and vice versa. Everyone who is kind is both wise and not funny and vice versa. Everyone who is not quiet or not wise is not strong. Everyone who is both not calm and not kind is kind and vice versa. Everyone who is either strong or not humble is patient or wi... | Alice is not curious. | neutral | (![X]:((~brave(X)<~>~calm(X))<=>~patient(X)))&
(![X]:(kind(X)<=>(wise(X)&~funny(X))))&
(![X]:((~quiet(X)|~wise(X))=>~strong(X)))&
(![X]:((~calm(X)&~kind(X))<=>kind(X)))&
(![X]:((strong(X)<~>~humble(X))=>(patient(X)|wise(X))))&
((~patient(lucy))<=>(?[X]:(~kind(X))))&
(![X]:((patient(X)|generous(X))<=>(~generous(X)&~curi... | ~curious(alice) | [] | null | 0 |
If someone is both funny and not calm then john is not funny or brave and vice versa. If someone is both calm and funny then someone is old and vice versa. If alice is rich then fred is curious. If fred is not wise or not old then someone is both not rich and funny and vice versa. If susan is humble or not strong then ... | Fred is not humble. | neutral | ((?[X]:((funny(X)&~calm(X))))<=>((~funny(john)|brave(john))))&
((?[X]:((calm(X)&funny(X))))<=>(?[X]:(old(X))))&
((rich(alice))=>(curious(fred)))&
(((~wise(fred)|~old(fred)))<=>(?[X]:((~rich(X)&funny(X)))))&
(((humble(susan)|~strong(susan)))<=>((~rich(mary)&humble(mary))))&
(![X]:(funny(X)<=>(generous(X)<~>old(X))))&
((... | ~humble(fred) | [] | null | 0 |
Everyone who is either curious or generous is not rich or old and vice versa.
If someone is not strong then someone is funny or wise.
If someone is humble or curious then paul is either not strong or generous.
Everyone who is either happy or old is not kind.
If fred is both not happy and strong then alice is humble or ... | Fred is not old. | contradiction | (![X]:((curious(X)<~>generous(X))<=>(~rich(X)|old(X))))&
((?[X]:(~strong(X)))=>(?[X]:((funny(X)|wise(X)))))&
((?[X]:((humble(X)|curious(X))))=>((~strong(paul)<~>generous(paul))))&
(![X]:((happy(X)<~>old(X))=>~kind(X)))&
(((~happy(fred)&strong(fred)))=>((humble(alice)|tall(alice))))&
(![X]:(~generous(X)=>(~funny(X)&old(... | ~old(fred) | [
"p0",
"p5",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5602340849078375940256517
% SZS output start Proof for 5602340849078375940256517
1. ! [X0] : ((curious(X0) <~> generous(X0)) <=> (old(X0) | ~rich(X0))) [input p0]
6. ! [X0] : (~generous(X0) => (old(X0) & ~funny(X0))) [input p5]
8. rich(fred) <=> ? [X0] : ~happy(X0) [input p7]
12. ! [X0] :... | 0 |
If john is not happy or not brave then someone is tall or calm.
If alice is brave or curious then lucy is either not tall or calm.
Everyone who is either not calm or humble is not creative or creative and vice versa.
Everyone who is both tall and not strong is both tall and not generous.
Everyone who is both calm and r... | John is calm. | neutral | (((~happy(john)|~brave(john)))=>(?[X]:((tall(X)|calm(X)))))&
(((brave(alice)|curious(alice)))=>((~tall(lucy)<~>calm(lucy))))&
(![X]:((~calm(X)<~>humble(X))<=>(~creative(X)|creative(X))))&
(![X]:((tall(X)&~strong(X))=>(tall(X)&~generous(X))))&
(![X]:((calm(X)&rich(X))<=>(~old(X)|generous(X))))&
(![X]:((kind(X)<~>~wise(X... | calm(john) | [] | null | 0 |
Everyone who is not calm is quiet and vice versa.
Everyone who is both brave and humble is patient and vice versa.
Everyone who is both quiet and not patient is creative and vice versa.
Everyone who is creative or not brave is rich.
Everyone who is brave is wise or not wise.
Everyone who is both rich and not tall is ei... | Mary is brave. | entailment | (![X]:(~calm(X)<=>quiet(X)))&
(![X]:((brave(X)&humble(X))<=>patient(X)))&
(![X]:((quiet(X)&~patient(X))<=>creative(X)))&
(![X]:((creative(X)|~brave(X))=>rich(X)))&
(![X]:(brave(X)=>(wise(X)|~wise(X))))&
(![X]:((rich(X)&~tall(X))<=>(~humble(X)<~>~brave(X))))&
((~calm(paul))=>(patient(mary)))&
(![X]:((happy(X)&~strong(X)... | brave(mary) | [
"p0",
"p1",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 126408510792681571165689
% SZS output start Proof for 126408510792681571165689
1. ! [X0] : (~calm(X0) <=> quiet(X0)) [input p0]
2. ! [X0] : ((humble(X0) & brave(X0)) <=> patient(X0)) [input p1]
7. ~calm(paul) => patient(mary) [input p6]
11. ? [X0] : ~quiet(X0) => (tall(alice) & ~tall(alic... | 0 |
Everyone who is not curious is not kind and vice versa.
Everyone who is not calm is not happy or strong and vice versa.
Everyone who is both not rich and not kind is either not wise or not brave.
If susan is either creative or quiet then susan is both not strong and not tall and vice versa.
Everyone who is patient or n... | Lucy is not curious. | entailment | (![X]:(~curious(X)<=>~kind(X)))&
(![X]:(~calm(X)<=>(~happy(X)|strong(X))))&
(![X]:((~rich(X)&~kind(X))=>(~wise(X)<~>~brave(X))))&
(((creative(susan)<~>quiet(susan)))<=>((~strong(susan)&~tall(susan))))&
(![X]:((patient(X)|~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))... | ~curious(lucy) | [
"p1",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3117018204424358707654082
% SZS output start Proof for 3117018204424358707654082
2. ! [X0] : (~calm(X0) <=> (strong(X0) | ~happy(X0))) [input p1]
6. ! [X0] : (curious(X0) => calm(X0)) [input p5]
20. strong(lucy) <~> ~calm(lucy) [input p19]
24. curious(lucy) [input hypothesis]
28. ! [X0] :... | 0 |
Everyone who is both not quiet and not generous is either patient or rich and vice versa. Everyone who is generous or not funny is either calm or not brave. Everyone who is either brave or rich is not calm. Everyone who is not wise or brave is both happy and rich. If mary is funny then susan is both brave and not rich.... | Lucy is tall. | contradiction | (![X]:((~quiet(X)&~generous(X))<=>(patient(X)<~>rich(X))))&
(![X]:((generous(X)|~funny(X))=>(calm(X)<~>~brave(X))))&
(![X]:((brave(X)<~>rich(X))=>~calm(X)))&
(![X]:((~wise(X)|brave(X))=>(happy(X)&rich(X))))&
((funny(mary))=>((brave(susan)&~rich(susan))))&
(![X]:((~curious(X)<~>old(X))=>(rich(X)&~old(X))))&
(((~happy(al... | tall(lucy) | [
"p0",
"p3",
"p7",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9182677307465459042518821
% SZS output start Proof for 9182677307465459042518821
1. ! [X0] : ((~generous(X0) & ~quiet(X0)) <=> (patient(X0) <~> rich(X0))) [input p0]
4. ! [X0] : ((brave(X0) | ~wise(X0)) => (rich(X0) & happy(X0))) [input p3]
8. ! [X0] : (~quiet(X0) <=> brave(X0)) [input p7... | 0 |
If susan is not tall then alice is both tall and kind and vice versa.
Everyone who is both not brave and patient is either humble or quiet and vice versa.
Everyone who is not tall or generous is either humble or calm and vice versa.
If someone is rich or not creative then someone is both not funny and not curious.
Ever... | Lucy is rich. | entailment | ((~tall(susan))<=>((tall(alice)&kind(alice))))&
(![X]:((~brave(X)&patient(X))<=>(humble(X)<~>quiet(X))))&
(![X]:((~tall(X)|generous(X))<=>(humble(X)<~>calm(X))))&
((?[X]:((rich(X)|~creative(X))))=>(?[X]:((~funny(X)&~curious(X)))))&
(![X]:((~happy(X)|quiet(X))<=>~funny(X)))&
(![X]:(~wise(X)=>(humble(X)&quiet(X))))&
(![X... | rich(lucy) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 109339669041961899684656
% SZS output start Proof for 109339669041961899684656
22. rich(lucy) [input p21]
25. ~rich(lucy) [input hypothesis]
134. rich(lucy) [cnf transformation 22]
138. ~rich(lucy) [cnf transformation 25]
271. $false [subsumption resolution 138,134]
% SZS output end Proof... | 0 |
Everyone who is not quiet or not humble is both not curious and humble.
Everyone who is wise or not kind is brave.
Everyone who is not calm is both generous and not wise and vice versa.
Everyone who is either old or calm is brave and vice versa.
Everyone who is either not quiet or generous is not curious or generous.
E... | John is not wise. | entailment | (![X]:((~quiet(X)|~humble(X))=>(~curious(X)&humble(X))))&
(![X]:((wise(X)|~kind(X))=>brave(X)))&
(![X]:(~calm(X)<=>(generous(X)&~wise(X))))&
(![X]:((old(X)<~>calm(X))<=>brave(X)))&
(![X]:((~quiet(X)<~>generous(X))=>(~curious(X)|generous(X))))&
(![X]:((~humble(X)|curious(X))<=>(funny(X)&calm(X))))&
(![X]:((creative(X)|~... | ~wise(john) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p7",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6941291577522714240233972
% SZS output start Proof for 6941291577522714240233972
1. ! [X0] : ((~humble(X0) | ~quiet(X0)) => (humble(X0) & ~curious(X0))) [input p0]
2. ! [X0] : ((~kind(X0) | wise(X0)) => brave(X0)) [input p1]
3. ! [X0] : (~calm(X0) <=> (~wise(X0) & generous(X0))) [input p2... | 0 |
If fred is both quiet and generous then susan is both not creative and patient.
If someone is both not curious and creative then someone is not happy or funny.
Everyone who is not creative is funny or not humble and vice versa.
If someone is happy or brave then someone is both not generous and funny.
If susan is either... | Fred is happy. | entailment | (((quiet(fred)&generous(fred)))=>((~creative(susan)&patient(susan))))&
((?[X]:((~curious(X)&creative(X))))=>(?[X]:((~happy(X)|funny(X)))))&
(![X]:(~creative(X)<=>(funny(X)|~humble(X))))&
((?[X]:((happy(X)|brave(X))))=>(?[X]:((~generous(X)&funny(X)))))&
(((creative(susan)<~>~humble(susan)))<=>(~patient(paul)))&
(![X]:((... | happy(fred) | [
"p8",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7152390998203923870655947
% SZS output start Proof for 7152390998203923870655947
9. ! [X0] : ((wise(X0) | curious(X0)) => ~curious(X0)) [input p8]
13. ! [X0] : ((wise(X0) <~> happy(X0)) => happy(X0)) [input p12]
14. ? [X0] : (kind(X0) | ~rich(X0)) <=> curious(lucy) [input p13]
16. ? [X0] ... | 0 |
Everyone who is either quiet or funny is strong.
If someone is both not calm and not old then someone is curious and vice versa.
If alice is both funny and calm then someone is not calm.
Everyone who is not tall is either not curious or not creative and vice versa.
If john is both not funny and rich then mary is both n... | Mary is strong. | entailment | (![X]:((quiet(X)<~>funny(X))=>strong(X)))&
((?[X]:((~calm(X)&~old(X))))<=>(?[X]:(curious(X))))&
(((funny(alice)&calm(alice)))=>(?[X]:(~calm(X))))&
(![X]:(~tall(X)<=>(~curious(X)<~>~creative(X))))&
(((~funny(john)&rich(john)))=>((~rich(mary)&~strong(mary))))&
(![X]:(calm(X)<=>(~old(X)&~quiet(X))))&
(![X]:(creative(X)<=>... | strong(mary) | [
"p6",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4176221539931622891973266
% SZS output start Proof for 4176221539931622891973266
7. ! [X0] : (creative(X0) <=> (rich(X0) & ~humble(X0))) [input p6]
12. ! [X0] : ((~generous(X0) | ~humble(X0)) <=> quiet(X0)) [input p11]
15. ? [X0] : ~strong(X0) <=> creative(alice) [input p14]
17. ~quiet(al... | 0 |
If someone is not quiet or not patient then alice is not old or brave and vice versa. If someone is calm or not brave then someone is humble. Everyone who is curious or not funny is funny or wise. Everyone who is both calm and not rich is either not calm or not patient. Everyone who is either humble or not strong is br... | Paul is not calm. | neutral | ((?[X]:((~quiet(X)|~patient(X))))<=>((~old(alice)|brave(alice))))&
((?[X]:((calm(X)|~brave(X))))=>(?[X]:(humble(X))))&
(![X]:((curious(X)|~funny(X))=>(funny(X)|wise(X))))&
(![X]:((calm(X)&~rich(X))=>(~calm(X)<~>~patient(X))))&
(![X]:((humble(X)<~>~strong(X))=>(brave(X)|~patient(X))))&
((?[X]:((~old(X)|funny(X))))<=>(?[... | ~calm(paul) | [] | null | 0 |
Everyone who is either kind or funny is not humble or wise and vice versa.
Everyone who is not tall or not brave is both rich and old and vice versa.
If lucy is not humble then alice is not brave and vice versa.
Everyone who is humble or curious is funny and vice versa.
Everyone who is either not humble or not wise is ... | Paul is not calm. | entailment | (![X]:((kind(X)<~>funny(X))<=>(~humble(X)|wise(X))))&
(![X]:((~tall(X)|~brave(X))<=>(rich(X)&old(X))))&
((~humble(lucy))<=>(~brave(alice)))&
(![X]:((humble(X)|curious(X))<=>funny(X)))&
(![X]:((~humble(X)<~>~wise(X))<=>kind(X)))&
(![X]:((~brave(X)&~kind(X))=>(~creative(X)<~>~brave(X))))&
(![X]:((~kind(X)|humble(X))=>(ol... | ~calm(paul) | [
"p0",
"p1",
"p3",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 873576622468343101465106
% SZS output start Proof for 873576622468343101465106
1. ! [X0] : ((kind(X0) <~> funny(X0)) <=> (wise(X0) | ~humble(X0))) [input p0]
2. ! [X0] : ((~brave(X0) | ~tall(X0)) <=> (old(X0) & rich(X0))) [input p1]
4. ! [X0] : ((curious(X0) | humble(X0)) <=> funny(X0)) [... | 0 |
If paul is either not tall or not strong then paul is not funny or funny.
If susan is either not creative or patient then someone is either not old or tall and vice versa.
Everyone who is not strong is not tall or happy.
Everyone who is both not tall and calm is both rich and kind.
Everyone who is calm is both humble a... | Mary is happy. | neutral | (((~tall(paul)<~>~strong(paul)))=>((~funny(paul)|funny(paul))))&
(((~creative(susan)<~>patient(susan)))<=>(?[X]:((~old(X)<~>tall(X)))))&
(![X]:(~strong(X)=>(~tall(X)|happy(X))))&
(![X]:((~tall(X)&calm(X))=>(rich(X)&kind(X))))&
(![X]:(calm(X)<=>(humble(X)&~kind(X))))&
(![X]:((generous(X)<~>creative(X))<=>~wise(X)))&
(![... | happy(mary) | [] | null | 0 |
If someone is both strong and not wise then someone is humble.
Everyone who is either not generous or not strong is not rich and vice versa.
If john is both not calm and not patient then someone is both not calm and not happy and vice versa.
Everyone who is rich is not wise or generous.
If someone is kind or not wise t... | Paul is calm. | contradiction | ((?[X]:((strong(X)&~wise(X))))=>(?[X]:(humble(X))))&
(![X]:((~generous(X)<~>~strong(X))<=>~rich(X)))&
(((~calm(john)&~patient(john)))<=>(?[X]:((~calm(X)&~happy(X)))))&
(![X]:(rich(X)=>(~wise(X)|generous(X))))&
((?[X]:((kind(X)|~wise(X))))<=>(?[X]:((~quiet(X)|kind(X)))))&
(![X]:((~tall(X)<~>brave(X))=>(creative(X)&~calm... | calm(paul) | [
"p6",
"p7",
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6074418270987462365919263
% SZS output start Proof for 6074418270987462365919263
7. ! [X0] : ((~calm(X0) <~> ~humble(X0)) <=> (kind(X0) | ~kind(X0))) [input p6]
8. ! [X0] : ((rich(X0) <~> brave(X0)) <=> (~happy(X0) | ~kind(X0))) [input p7]
10. ! [X0] : ((quiet(X0) & ~rich(X0)) <=> (~old(X... | 0 |
Everyone who is both rich and not old is both not calm and curious.
If mary is happy then paul is both old and calm and vice versa.
Everyone who is not brave or not wise is either funny or brave.
Everyone who is either not brave or patient is wise or generous and vice versa.
If someone is either not rich or not kind th... | Alice is not tall. | contradiction | (![X]:((rich(X)&~old(X))=>(~calm(X)&curious(X))))&
((happy(mary))<=>((old(paul)&calm(paul))))&
(![X]:((~brave(X)|~wise(X))=>(funny(X)<~>brave(X))))&
(![X]:((~brave(X)<~>patient(X))<=>(wise(X)|generous(X))))&
((?[X]:((~rich(X)<~>~kind(X))))=>(?[X]:((rich(X)&humble(X)))))&
(((rich(fred)&wise(fred)))<=>(?[X]:(~curious(X))... | ~tall(alice) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5941744096572947829350209
% SZS output start Proof for 5941744096572947829350209
3. ! [X0] : ((~wise(X0) | ~brave(X0)) => (funny(X0) <~> brave(X0))) [input p2]
11. ? [X0] : (~tall(X0) | ~old(X0)) <=> ? [X0] : (~brave(X0) & ~funny(X0)) [input p10]
25. ~tall(alice) [input hypothesis]
28. ? ... | 0 |
Everyone who is not old is brave or not strong.
If someone is either not calm or not tall then someone is creative and vice versa.
Everyone who is either not strong or strong is both not tall and humble.
Everyone who is not happy is both not wise and humble.
If alice is either not happy or funny then john is rich.
If s... | Paul is curious. | contradiction | (![X]:(~old(X)=>(brave(X)|~strong(X))))&
((?[X]:((~calm(X)<~>~tall(X))))<=>(?[X]:(creative(X))))&
(![X]:((~strong(X)<~>strong(X))=>(~tall(X)&humble(X))))&
(![X]:(~happy(X)=>(~wise(X)&humble(X))))&
(((~happy(alice)<~>funny(alice)))=>(rich(john)))&
((?[X]:((~rich(X)<~>generous(X))))<=>(patient(alice)))&
(![X]:((funny(X)<... | curious(paul) | [
"p2",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2586833640463956332589419
% SZS output start Proof for 2586833640463956332589419
3. ! [X0] : ((~strong(X0) <~> strong(X0)) => (humble(X0) & ~tall(X0))) [input p2]
16. ! [X0] : ((~generous(X0) | brave(X0)) => ~curious(X0)) [input p15]
19. ~humble(paul) <~> ~generous(paul) [input p18]
24. c... | 0 |
If fred is either not happy or not curious then someone is generous and vice versa.
Everyone who is not curious or humble is either not happy or rich.
If someone is not generous or strong then mary is both strong and not humble.
If someone is both creative and not calm then fred is patient or not strong.
Everyone who i... | John is not tall. | entailment | (((~happy(fred)<~>~curious(fred)))<=>(?[X]:(generous(X))))&
(![X]:((~curious(X)|humble(X))=>(~happy(X)<~>rich(X))))&
((?[X]:((~generous(X)|strong(X))))=>((strong(mary)&~humble(mary))))&
((?[X]:((creative(X)&~calm(X))))=>((patient(fred)|~strong(fred))))&
(![X]:((kind(X)|~strong(X))<=>(~generous(X)|~rich(X))))&
(((tall(m... | ~tall(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2066453258750177153448118
% SZS output start Proof for 2066453258750177153448118
13. ! [X0] : ((~kind(X0) | kind(X0)) => (~tall(X0) & funny(X0))) [input p12]
24. tall(john) [input hypothesis]
34. ! [X0] : ((~tall(X0) & funny(X0)) | (kind(X0) & ~kind(X0))) [ennf transformation 13]
117. ~ta... | 0 |
If mary is generous then someone is humble or tall and vice versa.
Everyone who is both not generous and brave is both calm and old.
If alice is either not calm or strong then lucy is not curious.
Everyone who is quiet or not funny is patient or not humble and vice versa.
Everyone who is both happy and calm is wise or ... | Lucy is brave. | neutral | ((generous(mary))<=>(?[X]:((humble(X)|tall(X)))))&
(![X]:((~generous(X)&brave(X))=>(calm(X)&old(X))))&
(((~calm(alice)<~>strong(alice)))=>(~curious(lucy)))&
(![X]:((quiet(X)|~funny(X))<=>(patient(X)|~humble(X))))&
(![X]:((happy(X)&calm(X))<=>(wise(X)|~brave(X))))&
(((happy(lucy)&~old(lucy)))=>(?[X]:((~wise(X)&~strong(X... | brave(lucy) | [] | null | 0 |
Everyone who is either not generous or creative is strong and vice versa.
If someone is generous then someone is either strong or not patient and vice versa.
If fred is both quiet and brave then john is not humble or not curious.
Everyone who is both calm and funny is either old or not curious and vice versa.
If alice ... | Paul is generous. | entailment | (![X]:((~generous(X)<~>creative(X))<=>strong(X)))&
((?[X]:(generous(X)))<=>(?[X]:((strong(X)<~>~patient(X)))))&
(((quiet(fred)&brave(fred)))=>((~humble(john)|~curious(john))))&
(![X]:((calm(X)&funny(X))<=>(old(X)<~>~curious(X))))&
(((kind(alice)|tall(alice)))<=>((rich(paul)<~>~old(paul))))&
(![X]:((tall(X)|humble(X))<=... | generous(paul) | [
"p9",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 230151299256143741383318
% SZS output start Proof for 230151299256143741383318
10. ! [X0] : (old(X0) <=> (brave(X0) & funny(X0))) [input p9]
12. ! [X0] : ((rich(X0) & ~generous(X0)) => ~brave(X0)) [input p11]
13. ! [X0] : (~old(X0) => (happy(X0) & ~rich(X0))) [input p12]
18. rich(paul) [i... | 0 |
Everyone who is happy is not curious and vice versa. If mary is either not rich or rich then someone is not calm or not tall and vice versa. Everyone who is curious or calm is both not curious and not funny and vice versa. Everyone who is both brave and not tall is happy or wise and vice versa. Everyone who is funny is... | John is not quiet. | neutral | (![X]:(happy(X)<=>~curious(X)))&
(((~rich(mary)<~>rich(mary)))<=>(?[X]:((~calm(X)|~tall(X)))))&
(![X]:((curious(X)|calm(X))<=>(~curious(X)&~funny(X))))&
(![X]:((brave(X)&~tall(X))<=>(happy(X)|wise(X))))&
(![X]:(funny(X)=>(old(X)&~strong(X))))&
(((~quiet(alice)&patient(alice)))<=>(?[X]:(funny(X))))&
(![X]:((calm(X)<~>~k... | ~quiet(john) | [] | null | 0 |
If someone is not quiet or patient then lucy is happy and vice versa.
If lucy is funny then lucy is either not funny or tall.
If john is not patient or humble then someone is not humble.
If alice is both generous and not wise then lucy is not quiet and vice versa.
Everyone who is not tall is not calm and vice versa.
If... | Mary is not strong. | entailment | ((?[X]:((~quiet(X)|patient(X))))<=>(happy(lucy)))&
((funny(lucy))=>((~funny(lucy)<~>tall(lucy))))&
(((~patient(john)|humble(john)))=>(?[X]:(~humble(X))))&
(((generous(alice)&~wise(alice)))<=>(~quiet(lucy)))&
(![X]:(~tall(X)<=>~calm(X)))&
(((~humble(paul)&~patient(paul)))<=>(?[X]:((strong(X)|~quiet(X)))))&
(![X]:((rich(... | ~strong(mary) | [
"p5",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1562994461145734847146641
% SZS output start Proof for 1562994461145734847146641
6. (~patient(paul) & ~humble(paul)) <=> ? [X0] : (~quiet(X0) | strong(X0)) [input p5]
7. ! [X0] : ((rich(X0) <~> ~funny(X0)) <=> (calm(X0) & ~calm(X0))) [input p6]
12. ! [X0] : (patient(X0) <=> (curious(X0) |... | 0 |
If paul is wise then alice is either creative or not generous and vice versa.
Everyone who is either not old or not creative is either not calm or calm and vice versa.
Everyone who is rich is either not quiet or creative.
If someone is not curious or tall then fred is not old or not curious.
If lucy is not curious then... | Fred is not rich. | entailment | ((wise(paul))<=>((creative(alice)<~>~generous(alice))))&
(![X]:((~old(X)<~>~creative(X))<=>(~calm(X)<~>calm(X))))&
(![X]:(rich(X)=>(~quiet(X)<~>creative(X))))&
((?[X]:((~curious(X)|tall(X))))=>((~old(fred)|~curious(fred))))&
((~curious(lucy))<=>(?[X]:((~quiet(X)<~>~strong(X)))))&
((?[X]:((creative(X)|~happy(X))))<=>((b... | ~rich(fred) | [
"p2",
"p3",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7335512658111449539794251
% SZS output start Proof for 7335512658111449539794251
3. ! [X0] : (rich(X0) => (~quiet(X0) <~> creative(X0))) [input p2]
4. ? [X0] : (tall(X0) | ~curious(X0)) => (~curious(fred) | ~old(fred)) [input p3]
6. ? [X0] : (~happy(X0) | creative(X0)) <=> (tall(fred) & b... | 0 |
If someone is both not curious and tall then someone is not calm or not creative.
Everyone who is rich is both wise and curious.
If mary is either kind or patient then alice is both not quiet and not strong and vice versa.
Everyone who is wise is either not calm or patient.
Everyone who is either happy or brave is both... | Fred is not funny. | contradiction | ((?[X]:((~curious(X)&tall(X))))=>(?[X]:((~calm(X)|~creative(X)))))&
(![X]:(rich(X)=>(wise(X)&curious(X))))&
(((kind(mary)<~>patient(mary)))<=>((~quiet(alice)&~strong(alice))))&
(![X]:(wise(X)=>(~calm(X)<~>patient(X))))&
(![X]:((happy(X)<~>brave(X))<=>(~humble(X)&funny(X))))&
((?[X]:(~creative(X)))<=>((old(mary)&~creati... | ~funny(fred) | [
"p6",
"p7",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 540526376801719657257221
% SZS output start Proof for 540526376801719657257221
7. ? [X0] : ~calm(X0) <=> ? [X0] : generous(X0) [input p6]
8. ! [X0] : (tall(X0) <=> (creative(X0) <~> brave(X0))) [input p7]
9. ! [X0] : ((funny(X0) <~> ~generous(X0)) => (~brave(X0) & wise(X0))) [input p8]
13... | 0 |
If fred is quiet or not brave then lucy is not kind.
Everyone who is both not curious and not creative is both tall and generous.
If mary is either humble or creative then someone is both not quiet and generous and vice versa.
If fred is not calm then someone is funny and vice versa.
Everyone who is not calm is either ... | Lucy is not rich. | neutral | (((quiet(fred)|~brave(fred)))=>(~kind(lucy)))&
(![X]:((~curious(X)&~creative(X))=>(tall(X)&generous(X))))&
(((humble(mary)<~>creative(mary)))<=>(?[X]:((~quiet(X)&generous(X)))))&
((~calm(fred))<=>(?[X]:(funny(X))))&
(![X]:(~calm(X)<=>(creative(X)<~>strong(X))))&
(![X]:((~creative(X)<~>generous(X))=>(~quiet(X)|~curious(... | ~rich(lucy) | [] | null | 0 |
Everyone who is not curious or not wise is rich and vice versa. If lucy is either wise or not creative then alice is either not strong or calm. Everyone who is either not old or not happy is both patient and not funny and vice versa. Everyone who is happy or humble is both not quiet and not happy. If someone is both no... | Mary is brave. | neutral | (![X]:((~curious(X)|~wise(X))<=>rich(X)))&
(((wise(lucy)<~>~creative(lucy)))=>((~strong(alice)<~>calm(alice))))&
(![X]:((~old(X)<~>~happy(X))<=>(patient(X)&~funny(X))))&
(![X]:((happy(X)|humble(X))=>(~quiet(X)&~happy(X))))&
((?[X]:((~happy(X)&tall(X))))=>(?[X]:(happy(X))))&
((?[X]:(rich(X)))=>(?[X]:((~humble(X)&strong(... | brave(mary) | [] | null | 0 |
Everyone who is either curious or not generous is not funny or not curious and vice versa.
If someone is either not rich or rich then paul is either quiet or not rich.
Everyone who is not funny is not happy or quiet and vice versa.
Everyone who is either creative or not humble is generous.
Everyone who is wise is not k... | Susan is calm. | neutral | (![X]:((curious(X)<~>~generous(X))<=>(~funny(X)|~curious(X))))&
((?[X]:((~rich(X)<~>rich(X))))=>((quiet(paul)<~>~rich(paul))))&
(![X]:(~funny(X)<=>(~happy(X)|quiet(X))))&
(![X]:((creative(X)<~>~humble(X))=>generous(X)))&
(![X]:(wise(X)=>~kind(X)))&
(![X]:((~brave(X)<~>~quiet(X))<=>kind(X)))&
(![X]:((curious(X)<~>patien... | calm(susan) | [] | null | 0 |
Everyone who is not wise is either not patient or strong and vice versa.
If paul is both kind and not tall then lucy is both not strong and rich and vice versa.
Everyone who is either old or not wise is either patient or rich and vice versa.
If someone is not funny or kind then john is both not quiet and calm and vice ... | John is not humble. | neutral | (![X]:(~wise(X)<=>(~patient(X)<~>strong(X))))&
(((kind(paul)&~tall(paul)))<=>((~strong(lucy)&rich(lucy))))&
(![X]:((old(X)<~>~wise(X))<=>(patient(X)<~>rich(X))))&
((?[X]:((~funny(X)|kind(X))))<=>((~quiet(john)&calm(john))))&
(((~quiet(paul)&old(paul)))=>(?[X]:(~creative(X))))&
(![X]:((~wise(X)|patient(X))<=>(~brave(X)&... | ~humble(john) | [] | null | 0 |
Everyone who is both kind and tall is either brave or not wise and vice versa.
If someone is not humble or creative then lucy is both not kind and creative and vice versa.
If someone is either funny or not rich then lucy is not curious or tall.
If fred is either not patient or funny then someone is either not curious o... | Lucy is not creative. | entailment | (![X]:((kind(X)&tall(X))<=>(brave(X)<~>~wise(X))))&
((?[X]:((~humble(X)|creative(X))))<=>((~kind(lucy)&creative(lucy))))&
((?[X]:((funny(X)<~>~rich(X))))=>((~curious(lucy)|tall(lucy))))&
(((~patient(fred)<~>funny(fred)))=>(?[X]:((~curious(X)<~>~patient(X)))))&
(![X]:(~calm(X)=>~wise(X)))&
(![X]:((humble(X)&~rich(X))<=>... | ~creative(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6685278174272323742519040
% SZS output start Proof for 6685278174272323742519040
11. ! [X0] : ((~humble(X0) & ~creative(X0)) <=> (funny(X0) | creative(X0))) [input p10]
22. creative(lucy) [input hypothesis]
52. ! [X0] : (((~humble(X0) & ~creative(X0)) | (~funny(X0) & ~creative(X0))) & ((f... | 0 |
Everyone who is both kind and not creative is both not curious and not creative and vice versa.
Everyone who is both calm and not rich is either not kind or not brave.
Everyone who is not quiet or brave is both curious and happy.
If paul is either calm or quiet then fred is either patient or humble and vice versa.
Ever... | Mary is not curious. | contradiction | (![X]:((kind(X)&~creative(X))<=>(~curious(X)&~creative(X))))&
(![X]:((calm(X)&~rich(X))=>(~kind(X)<~>~brave(X))))&
(![X]:((~quiet(X)|brave(X))=>(curious(X)&happy(X))))&
(((calm(paul)<~>quiet(paul)))<=>((patient(fred)<~>humble(fred))))&
(![X]:((~creative(X)|quiet(X))=>(~humble(X)&~kind(X))))&
(((wise(mary)&creative(mary... | ~curious(mary) | [
"p2",
"p4",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 230231409597358177496402
% SZS output start Proof for 230231409597358177496402
3. ! [X0] : ((brave(X0) | ~quiet(X0)) => (happy(X0) & curious(X0))) [input p2]
5. ! [X0] : ((quiet(X0) | ~creative(X0)) => (~kind(X0) & ~humble(X0))) [input p4]
12. ! [X0] : ((~humble(X0) & ~happy(X0)) => (happ... | 0 |
Everyone who is both not happy and not rich is not funny. If susan is not generous then someone is both not rich and not humble and vice versa. If someone is curious then mary is not funny or happy. If someone is either tall or brave then someone is wise or generous and vice versa. If someone is both curious and not ol... | Paul is strong. | neutral | (![X]:((~happy(X)&~rich(X))=>~funny(X)))&
((~generous(susan))<=>(?[X]:((~rich(X)&~humble(X)))))&
((?[X]:(curious(X)))=>((~funny(mary)|happy(mary))))&
((?[X]:((tall(X)<~>brave(X))))<=>(?[X]:((wise(X)|generous(X)))))&
((?[X]:((curious(X)&~old(X))))<=>(?[X]:((~quiet(X)&humble(X)))))&
(((strong(mary)|generous(mary)))=>(~ca... | strong(paul) | [] | null | 0 |
Everyone who is either humble or kind is both not strong and strong and vice versa. Everyone who is not generous or not quiet is either strong or kind and vice versa. Everyone who is not wise or not creative is both not funny and strong and vice versa. If mary is kind or not patient then alice is either tall or curious... | John is happy. | neutral | (![X]:((humble(X)<~>kind(X))<=>(~strong(X)&strong(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(strong(X)<~>kind(X))))&
(![X]:((~wise(X)|~creative(X))<=>(~funny(X)&strong(X))))&
(((kind(mary)|~patient(mary)))<=>((tall(alice)<~>curious(alice))))&
(![X]:(~creative(X)<=>(brave(X)&kind(X))))&
(![X]:((~funny(X)|~patient(X))<=>~... | happy(john) | [] | null | 0 |
If susan is not creative or not generous then someone is not brave and vice versa. If paul is not old or old then someone is strong and vice versa. If someone is either not creative or creative then alice is either rich or kind and vice versa. Everyone who is both not rich and not happy is strong. If fred is kind or pa... | Lucy is not wise. | neutral | (((~creative(susan)|~generous(susan)))<=>(?[X]:(~brave(X))))&
(((~old(paul)|old(paul)))<=>(?[X]:(strong(X))))&
((?[X]:((~creative(X)<~>creative(X))))<=>((rich(alice)<~>kind(alice))))&
(![X]:((~rich(X)&~happy(X))=>strong(X)))&
(((kind(fred)|patient(fred)))=>((wise(susan)&~generous(susan))))&
(![X]:(tall(X)=>(~rich(X)&~h... | ~wise(lucy) | [] | null | 0 |
Everyone who is not quiet or not calm is either not rich or brave and vice versa.
Everyone who is both not tall and wise is not wise.
Everyone who is kind or not rich is quiet and vice versa.
If someone is quiet or not rich then someone is not rich.
Everyone who is not generous is not quiet or not patient.
If mary is e... | Paul is rich. | neutral | (![X]:((~quiet(X)|~calm(X))<=>(~rich(X)<~>brave(X))))&
(![X]:((~tall(X)&wise(X))=>~wise(X)))&
(![X]:((kind(X)|~rich(X))<=>quiet(X)))&
((?[X]:((quiet(X)|~rich(X))))=>(?[X]:(~rich(X))))&
(![X]:(~generous(X)=>(~quiet(X)|~patient(X))))&
(((~creative(mary)<~>kind(mary)))=>((~rich(paul)|curious(paul))))&
(![X]:((~quiet(X)<~>... | rich(paul) | [] | null | 0 |
Everyone who is not strong is not rich.
Everyone who is patient or kind is humble or not tall.
Everyone who is either not humble or not wise is both calm and curious and vice versa.
Everyone who is both not tall and creative is creative or wise and vice versa.
Everyone who is calm or creative is not brave and vice vers... | Fred is funny. | entailment | (![X]:(~strong(X)=>~rich(X)))&
(![X]:((patient(X)|kind(X))=>(humble(X)|~tall(X))))&
(![X]:((~humble(X)<~>~wise(X))<=>(calm(X)&curious(X))))&
(![X]:((~tall(X)&creative(X))<=>(creative(X)|wise(X))))&
(![X]:((calm(X)|creative(X))<=>~brave(X)))&
(![X]:(~patient(X)=>funny(X)))&
(![X]:((~patient(X)<~>~generous(X))=>(~funny(X... | funny(fred) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 530710643505669489424875
% SZS output start Proof for 530710643505669489424875
2. ! [X0] : ((kind(X0) | patient(X0)) => (~tall(X0) | humble(X0))) [input p1]
3. ! [X0] : ((~humble(X0) <~> ~wise(X0)) <=> (curious(X0) & calm(X0))) [input p2]
4. ! [X0] : ((creative(X0) & ~tall(X0)) <=> (wise(... | 0 |
If someone is either not wise or patient then fred is either not curious or strong and vice versa. Everyone who is not kind or not happy is not creative. Everyone who is both not rich and happy is kind or funny and vice versa. If someone is not brave then alice is generous or not funny and vice versa. Everyone who is b... | John is brave. | contradiction | ((?[X]:((~wise(X)<~>patient(X))))<=>((~curious(fred)<~>strong(fred))))&
(![X]:((~kind(X)|~happy(X))=>~creative(X)))&
(![X]:((~rich(X)&happy(X))<=>(kind(X)|funny(X))))&
((?[X]:(~brave(X)))<=>((generous(alice)|~funny(alice))))&
(![X]:((~curious(X)&~creative(X))=>(~brave(X)|tall(X))))&
(![X]:((old(X)|creative(X))<=>~happy... | brave(john) | [
"p2",
"p5",
"p6",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9117295779068869362488755
% SZS output start Proof for 9117295779068869362488755
3. ! [X0] : ((happy(X0) & ~rich(X0)) <=> (funny(X0) | kind(X0))) [input p2]
6. ! [X0] : ((creative(X0) | old(X0)) <=> ~happy(X0)) [input p5]
7. ! [X0] : (~curious(X0) => (~generous(X0) & funny(X0))) [input p6... | 0 |
Everyone who is not rich or generous is both not wise and not strong.
If someone is not generous or not old then mary is both not quiet and not curious and vice versa.
If alice is both brave and creative then lucy is not kind or not curious.
Everyone who is not wise is not old.
If fred is not rich or kind then someone ... | Mary is humble. | neutral | (![X]:((~rich(X)|generous(X))=>(~wise(X)&~strong(X))))&
((?[X]:((~generous(X)|~old(X))))<=>((~quiet(mary)&~curious(mary))))&
(((brave(alice)&creative(alice)))=>((~kind(lucy)|~curious(lucy))))&
(![X]:(~wise(X)=>~old(X)))&
(((~rich(fred)|kind(fred)))=>(?[X]:((~tall(X)|~creative(X)))))&
(![X]:((~curious(X)|generous(X))=>(... | humble(mary) | [] | null | 0 |
Everyone who is not generous or rich is calm or not rich.
Everyone who is generous is both not happy and not curious and vice versa.
Everyone who is either calm or humble is either not wise or generous.
If someone is either kind or old then someone is not funny or kind and vice versa.
Everyone who is not generous or ha... | Fred is wise. | entailment | (![X]:((~generous(X)|rich(X))=>(calm(X)|~rich(X))))&
(![X]:(generous(X)<=>(~happy(X)&~curious(X))))&
(![X]:((calm(X)<~>humble(X))=>(~wise(X)<~>generous(X))))&
((?[X]:((kind(X)<~>old(X))))<=>(?[X]:((~funny(X)|kind(X)))))&
(![X]:((~generous(X)|happy(X))=>(tall(X)<~>~wise(X))))&
(((tall(paul)<~>creative(paul)))<=>(?[X]:((... | wise(fred) | [
"p0",
"p6",
"p7",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4357878025828957373941583
% SZS output start Proof for 4357878025828957373941583
1. ! [X0] : ((rich(X0) | ~generous(X0)) => (~rich(X0) | calm(X0))) [input p0]
7. (~quiet(fred) | ~calm(fred)) <=> ? [X0] : (~happy(X0) & calm(X0)) [input p6]
8. ! [X0] : ((rich(X0) <~> wise(X0)) <=> old(X0)) ... | 0 |
If lucy is not strong or wise then alice is not happy.
Everyone who is not old or not happy is not humble or not rich and vice versa.
Everyone who is not humble is either patient or quiet and vice versa.
Everyone who is strong is both not wise and strong.
Everyone who is not humble is not quiet or not old.
Everyone who... | Fred is not humble. | contradiction | (((~strong(lucy)|wise(lucy)))=>(~happy(alice)))&
(![X]:((~old(X)|~happy(X))<=>(~humble(X)|~rich(X))))&
(![X]:(~humble(X)<=>(patient(X)<~>quiet(X))))&
(![X]:(strong(X)=>(~wise(X)&strong(X))))&
(![X]:(~humble(X)=>(~quiet(X)|~old(X))))&
(![X]:((curious(X)|creative(X))=>tall(X)))&
(![X]:(generous(X)<=>curious(X)))&
(![X]:(... | ~humble(fred) | [
"p5",
"p6",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8923524603825888277507685
% SZS output start Proof for 8923524603825888277507685
6. ! [X0] : ((creative(X0) | curious(X0)) => tall(X0)) [input p5]
7. ! [X0] : (generous(X0) <=> curious(X0)) [input p6]
8. ! [X0] : ((~calm(X0) & ~generous(X0)) <=> (~generous(X0) | ~happy(X0))) [input p7]
9.... | 0 |
Everyone who is both happy and not kind is tall or not kind and vice versa. If paul is both not creative and not brave then john is not happy or not rich. If someone is not patient or not kind then lucy is not creative. If lucy is either patient or calm then someone is not patient or not creative. If someone is not bra... | Susan is not patient. | contradiction | (![X]:((happy(X)&~kind(X))<=>(tall(X)|~kind(X))))&
(((~creative(paul)&~brave(paul)))=>((~happy(john)|~rich(john))))&
((?[X]:((~patient(X)|~kind(X))))=>(~creative(lucy)))&
(((patient(lucy)<~>calm(lucy)))=>(?[X]:((~patient(X)|~creative(X)))))&
((?[X]:((~brave(X)|calm(X))))=>(?[X]:((~generous(X)|patient(X)))))&
(![X]:((wi... | ~patient(susan) | [
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4818312985444104202144865
% SZS output start Proof for 4818312985444104202144865
15. ! [X0] : (rich(X0) <=> (~old(X0) | brave(X0))) [input p14]
16. ! [X0] : (~old(X0) => (patient(X0) <~> brave(X0))) [input p15]
23. rich(susan) & ~brave(susan) [input p22]
25. ~patient(susan) [input hypothe... | 0 |
Everyone who is either generous or rich is either rich or humble and vice versa.
Everyone who is not tall is both happy and not generous.
Everyone who is both brave and funny is patient or not humble.
Everyone who is both old and generous is not tall or creative and vice versa.
If susan is not old or funny then mary is... | Mary is generous. | contradiction | (![X]:((generous(X)<~>rich(X))<=>(rich(X)<~>humble(X))))&
(![X]:(~tall(X)=>(happy(X)&~generous(X))))&
(![X]:((brave(X)&funny(X))=>(patient(X)|~humble(X))))&
(![X]:((old(X)&generous(X))<=>(~tall(X)|creative(X))))&
(((~old(susan)|funny(susan)))=>(~curious(mary)))&
((?[X]:((~brave(X)|kind(X))))<=>(wise(mary)))&
(![X]:(cal... | generous(mary) | [
"p5",
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1821232687851548147919021
% SZS output start Proof for 1821232687851548147919021
6. ? [X0] : (kind(X0) | ~brave(X0)) <=> wise(mary) [input p5]
12. ! [X0] : ((strong(X0) <~> generous(X0)) <=> (~wise(X0) & ~old(X0))) [input p11]
14. ! [X0] : (strong(X0) => ~wise(X0)) [input p13]
18. humble(... | 0 |
If someone is either not patient or not creative then someone is both patient and wise and vice versa.
If someone is not kind or not patient then susan is both not brave and not funny.
If someone is rich then someone is either not brave or brave and vice versa.
Everyone who is not strong is quiet.
Everyone who is not t... | Susan is humble. | entailment | ((?[X]:((~patient(X)<~>~creative(X))))<=>(?[X]:((patient(X)&wise(X)))))&
((?[X]:((~kind(X)|~patient(X))))=>((~brave(susan)&~funny(susan))))&
((?[X]:(rich(X)))<=>(?[X]:((~brave(X)<~>brave(X)))))&
(![X]:(~strong(X)=>quiet(X)))&
(![X]:((~tall(X)|~funny(X))=>humble(X)))&
(![X]:((~generous(X)|tall(X))=>brave(X)))&
(![X]:((~... | humble(susan) | [
"p3",
"p4",
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8305364596268370904391283
% SZS output start Proof for 8305364596268370904391283
4. ! [X0] : (~strong(X0) => quiet(X0)) [input p3]
5. ! [X0] : ((~funny(X0) | ~tall(X0)) => humble(X0)) [input p4]
6. ! [X0] : ((tall(X0) | ~generous(X0)) => brave(X0)) [input p5]
8. ! [X0] : ((~strong(X0) <~>... | 0 |
Everyone who is calm is not humble and vice versa. Everyone who is curious is not calm and vice versa. Everyone who is both not calm and humble is either calm or not old and vice versa. Everyone who is either calm or tall is either not patient or not kind and vice versa. Everyone who is funny or quiet is not kind and v... | Alice is not calm. | entailment | (![X]:(calm(X)<=>~humble(X)))&
(![X]:(curious(X)<=>~calm(X)))&
(![X]:((~calm(X)&humble(X))<=>(calm(X)<~>~old(X))))&
(![X]:((calm(X)<~>tall(X))<=>(~patient(X)<~>~kind(X))))&
(![X]:((funny(X)|quiet(X))<=>~kind(X)))&
((?[X]:((~humble(X)|~quiet(X))))<=>((~calm(paul)<~>~strong(paul))))&
(![X]:((tall(X)|~curious(X))=>(~patie... | ~calm(alice) | [
"p0",
"p1",
"p2",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4599102316580270517593870
% SZS output start Proof for 4599102316580270517593870
1. ! [X0] : (calm(X0) <=> ~humble(X0)) [input p0]
2. ! [X0] : (curious(X0) <=> ~calm(X0)) [input p1]
3. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (calm(X0) <~> ~old(X0))) [input p2]
7. ! [X0] : ((~curious(X0) | ... | 0 |
Everyone who is both not curious and tall is not kind or not creative and vice versa.
Everyone who is quiet is both happy and not humble.
If mary is not brave or kind then john is old.
If someone is either happy or not rich then someone is both happy and not old.
Everyone who is not generous is brave or not brave.
Ever... | John is not humble. | entailment | (![X]:((~curious(X)&tall(X))<=>(~kind(X)|~creative(X))))&
(![X]:(quiet(X)=>(happy(X)&~humble(X))))&
(((~brave(mary)|kind(mary)))=>(old(john)))&
((?[X]:((happy(X)<~>~rich(X))))=>(?[X]:((happy(X)&~old(X)))))&
(![X]:(~generous(X)=>(brave(X)|~brave(X))))&
(![X]:((funny(X)|wise(X))=>(patient(X)&wise(X))))&
((?[X]:((happy(X)... | ~humble(john) | [
"p1",
"p2",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7250190806740862430832209
% SZS output start Proof for 7250190806740862430832209
2. ! [X0] : (quiet(X0) => (~humble(X0) & happy(X0))) [input p1]
3. (kind(mary) | ~brave(mary)) => old(john) [input p2]
8. ! [X0] : ((~humble(X0) | old(X0)) <=> (curious(X0) <~> quiet(X0))) [input p7]
13. ! [X... | 0 |
Everyone who is not patient or not strong is either not strong or creative and vice versa.
Everyone who is not strong or old is calm and vice versa.
If someone is either wise or strong then susan is either brave or not patient.
Everyone who is either happy or kind is rich or wise and vice versa.
Everyone who is not kin... | Mary is not rich. | neutral | (![X]:((~patient(X)|~strong(X))<=>(~strong(X)<~>creative(X))))&
(![X]:((~strong(X)|old(X))<=>calm(X)))&
((?[X]:((wise(X)<~>strong(X))))=>((brave(susan)<~>~patient(susan))))&
(![X]:((happy(X)<~>kind(X))<=>(rich(X)|wise(X))))&
(![X]:((~kind(X)|~calm(X))<=>(~brave(X)&~humble(X))))&
(![X]:((~old(X)&~wise(X))=>~curious(X)))... | ~rich(mary) | [] | null | 0 |
Everyone who is both quiet and not kind is both not kind and funny and vice versa.
Everyone who is not brave or strong is both brave and not quiet and vice versa.
If john is either not funny or not old then mary is either not patient or not happy and vice versa.
Everyone who is not rich is not brave or not humble.
Ever... | Fred is funny. | contradiction | (![X]:((quiet(X)&~kind(X))<=>(~kind(X)&funny(X))))&
(![X]:((~brave(X)|strong(X))<=>(brave(X)&~quiet(X))))&
(((~funny(john)<~>~old(john)))<=>((~patient(mary)<~>~happy(mary))))&
(![X]:(~rich(X)=>(~brave(X)|~humble(X))))&
(![X]:(~kind(X)<=>rich(X)))&
(![X]:((creative(X)&~quiet(X))=>(calm(X)&strong(X))))&
((?[X]:(strong(X)... | funny(fred) | [
"p1",
"p3",
"p4",
"p5",
"p9",
"p14",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 789800497009300625466465
% SZS output start Proof for 789800497009300625466465
2. ! [X0] : ((strong(X0) | ~brave(X0)) <=> (~quiet(X0) & brave(X0))) [input p1]
4. ! [X0] : (~rich(X0) => (~humble(X0) | ~brave(X0))) [input p3]
5. ! [X0] : (~kind(X0) <=> rich(X0)) [input p4]
6. ! [X0] : ((~qu... | 0 |
If someone is wise then susan is either strong or wise and vice versa.
Everyone who is not wise is humble and vice versa.
If lucy is both humble and not patient then someone is generous or not curious.
Everyone who is both not happy and not calm is both not wise and rich.
Everyone who is brave is creative or patient an... | Lucy is quiet. | neutral | ((?[X]:(wise(X)))<=>((strong(susan)<~>wise(susan))))&
(![X]:(~wise(X)<=>humble(X)))&
(((humble(lucy)&~patient(lucy)))=>(?[X]:((generous(X)|~curious(X)))))&
(![X]:((~happy(X)&~calm(X))=>(~wise(X)&rich(X))))&
(![X]:(brave(X)<=>(creative(X)|patient(X))))&
(((~brave(lucy)<~>generous(lucy)))<=>((curious(lucy)&calm(lucy))))&... | quiet(lucy) | [] | null | 0 |
Everyone who is both not happy and curious is either not old or not patient. If someone is kind or not humble then susan is generous. If someone is not rich then john is wise. Everyone who is both tall and not funny is funny. Everyone who is both not wise and kind is either not rich or not calm and vice versa. Everyone... | Lucy is strong. | entailment | (![X]:((~happy(X)&curious(X))=>(~old(X)<~>~patient(X))))&
((?[X]:((kind(X)|~humble(X))))=>(generous(susan)))&
((?[X]:(~rich(X)))=>(wise(john)))&
(![X]:((tall(X)&~funny(X))=>funny(X)))&
(![X]:((~wise(X)&kind(X))<=>(~rich(X)<~>~calm(X))))&
(![X]:((~kind(X)|~curious(X))<=>(~generous(X)<~>~strong(X))))&
(![X]:(kind(X)=>(~w... | strong(lucy) | [
"p8",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 570302976201154642022195
% SZS output start Proof for 570302976201154642022195
9. ! [X0] : ((~happy(X0) | curious(X0)) => strong(X0)) [input p8]
16. (brave(lucy) | happy(lucy)) <=> rich(lucy) [input p15]
21. ~rich(lucy) <~> curious(lucy) [input p20]
24. ~strong(lucy) [input hypothesis]
35... | 0 |
Everyone who is not quiet or creative is creative or not rich and vice versa. Everyone who is either not patient or wise is both not humble and quiet. If john is brave or not happy then someone is not rich or not happy. Everyone who is not patient or not generous is strong. If someone is old then someone is either happ... | Mary is wise. | contradiction | (![X]:((~quiet(X)|creative(X))<=>(creative(X)|~rich(X))))&
(![X]:((~patient(X)<~>wise(X))=>(~humble(X)&quiet(X))))&
(((brave(john)|~happy(john)))=>(?[X]:((~rich(X)|~happy(X)))))&
(![X]:((~patient(X)|~generous(X))=>strong(X)))&
((?[X]:(old(X)))<=>(?[X]:((happy(X)<~>~funny(X)))))&
((?[X]:((~quiet(X)|~funny(X))))<=>(?[X]:... | wise(mary) | [
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 205060742168838700467638
% SZS output start Proof for 205060742168838700467638
12. ! [X0] : ((~calm(X0) & ~wise(X0)) <=> (patient(X0) | ~old(X0))) [input p11]
23. funny(mary) & ~old(mary) [input p22]
25. wise(mary) [input hypothesis]
68. ! [X0] : (((~calm(X0) & ~wise(X0)) | (~patient(X0) ... | 0 |
If someone is not calm or wise then fred is both not rich and not tall.
Everyone who is not calm or creative is not strong or not quiet.
Everyone who is not strong is both rich and happy and vice versa.
If someone is either not patient or humble then alice is calm or not brave and vice versa.
Everyone who is both not h... | Alice is tall. | contradiction | ((?[X]:((~calm(X)|wise(X))))=>((~rich(fred)&~tall(fred))))&
(![X]:((~calm(X)|creative(X))=>(~strong(X)|~quiet(X))))&
(![X]:(~strong(X)<=>(rich(X)&happy(X))))&
((?[X]:((~patient(X)<~>humble(X))))<=>((calm(alice)|~brave(alice))))&
(![X]:((~happy(X)&humble(X))<=>(~wise(X)<~>~brave(X))))&
(![X]:((~quiet(X)<~>funny(X))<=>(h... | tall(alice) | [
"p2",
"p7",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 20798526939047561549253
% SZS output start Proof for 20798526939047561549253
3. ! [X0] : (~strong(X0) <=> (happy(X0) & rich(X0))) [input p2]
8. ! [X0] : (~creative(X0) <=> ~tall(X0)) [input p7]
9. ! [X0] : ((~funny(X0) | strong(X0)) => ~creative(X0)) [input p8]
20. ~happy(alice) [input p1... | 0 |
Everyone who is both strong and calm is not funny or not tall and vice versa.
If someone is either patient or not tall then alice is either brave or not kind.
Everyone who is either not curious or not wise is happy or not brave and vice versa.
Everyone who is either not wise or rich is not tall.
If someone is strong th... | Fred is not brave. | contradiction | (![X]:((strong(X)&calm(X))<=>(~funny(X)|~tall(X))))&
((?[X]:((patient(X)<~>~tall(X))))=>((brave(alice)<~>~kind(alice))))&
(![X]:((~curious(X)<~>~wise(X))<=>(happy(X)|~brave(X))))&
(![X]:((~wise(X)<~>rich(X))=>~tall(X)))&
((?[X]:(strong(X)))<=>(?[X]:((quiet(X)&wise(X)))))&
((generous(alice))<=>(?[X]:((~strong(X)&curious... | ~brave(fred) | [
"p0",
"p2",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5340718473808316866397129
% SZS output start Proof for 5340718473808316866397129
1. ! [X0] : ((calm(X0) & strong(X0)) <=> (~tall(X0) | ~funny(X0))) [input p0]
3. ! [X0] : ((~curious(X0) <~> ~wise(X0)) <=> (~brave(X0) | happy(X0))) [input p2]
6. generous(alice) <=> ? [X0] : (curious(X0) & ... | 0 |
Everyone who is both not funny and humble is either not quiet or rich.
Everyone who is not humble is either funny or not humble.
If someone is both brave and not curious then someone is either not strong or not humble and vice versa.
Everyone who is funny or not patient is both not brave and creative and vice versa.
Ev... | Paul is old. | entailment | (![X]:((~funny(X)&humble(X))=>(~quiet(X)<~>rich(X))))&
(![X]:(~humble(X)=>(funny(X)<~>~humble(X))))&
((?[X]:((brave(X)&~curious(X))))<=>(?[X]:((~strong(X)<~>~humble(X)))))&
(![X]:((funny(X)|~patient(X))<=>(~brave(X)&creative(X))))&
(![X]:((humble(X)&old(X))<=>(happy(X)<~>~happy(X))))&
(![X]:(~kind(X)=>(~rich(X)<~>~wise... | old(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1914839451376374062291941
% SZS output start Proof for 1914839451376374062291941
5. ! [X0] : ((old(X0) & humble(X0)) <=> (happy(X0) <~> ~happy(X0))) [input p4]
24. ~old(paul) [input hypothesis]
47. ! [X0] : (((old(X0) & humble(X0)) | ((happy(X0) | happy(X0)) & (~happy(X0) | ~happy(X0)))) ... | 0 |
If someone is not kind then someone is both brave and not happy.
If fred is both not old and not quiet then someone is either humble or not kind and vice versa.
If someone is either quiet or not curious then someone is either not kind or not rich and vice versa.
If mary is either not old or happy then susan is either n... | Paul is generous. | contradiction | ((?[X]:(~kind(X)))=>(?[X]:((brave(X)&~happy(X)))))&
(((~old(fred)&~quiet(fred)))<=>(?[X]:((humble(X)<~>~kind(X)))))&
((?[X]:((quiet(X)<~>~curious(X))))<=>(?[X]:((~kind(X)<~>~rich(X)))))&
(((~old(mary)<~>happy(mary)))<=>((~curious(susan)<~>creative(susan))))&
(![X]:((~happy(X)|strong(X))=>(patient(X)&curious(X))))&
((br... | generous(paul) | [
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3332565832276477983872852
% SZS output start Proof for 3332565832276477983872852
7. ! [X0] : (~rich(X0) <=> (~calm(X0) & rich(X0))) [input p6]
11. ? [X0] : (happy(X0) | generous(X0)) <=> ? [X0] : (~rich(X0) & ~brave(X0)) [input p10]
23. generous(paul) [input hypothesis]
26. ? [X0] : (happ... | 0 |
If john is either tall or rich then fred is either not happy or not creative and vice versa. Everyone who is patient or creative is both not generous and humble. Everyone who is not wise or humble is generous and vice versa. If lucy is generous or not quiet then lucy is not tall. If fred is either patient or not genero... | Mary is not tall. | neutral | (((tall(john)<~>rich(john)))<=>((~happy(fred)<~>~creative(fred))))&
(![X]:((patient(X)|creative(X))=>(~generous(X)&humble(X))))&
(![X]:((~wise(X)|humble(X))<=>generous(X)))&
(((generous(lucy)|~quiet(lucy)))=>(~tall(lucy)))&
(((patient(fred)<~>~generous(fred)))=>(rich(alice)))&
(![X]:((~curious(X)|~patient(X))=>(~wise(X... | ~tall(mary) | [] | null | 0 |
Everyone who is both not curious and strong is both not old and generous and vice versa.
Everyone who is creative is both not quiet and humble and vice versa.
Everyone who is not happy is patient or kind and vice versa.
Everyone who is both not old and brave is either rich or not kind.
If someone is either not happy or... | John is not rich. | contradiction | (![X]:((~curious(X)&strong(X))<=>(~old(X)&generous(X))))&
(![X]:(creative(X)<=>(~quiet(X)&humble(X))))&
(![X]:(~happy(X)<=>(patient(X)|kind(X))))&
(![X]:((~old(X)&brave(X))=>(rich(X)<~>~kind(X))))&
((?[X]:((~happy(X)<~>creative(X))))=>((happy(john)&~tall(john))))&
((?[X]:((~calm(X)|~old(X))))=>((strong(lucy)&calm(lucy)... | ~rich(john) | [
"p0",
"p1",
"p2",
"p4",
"p8",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4519754826613356569995169
% SZS output start Proof for 4519754826613356569995169
1. ! [X0] : ((strong(X0) & ~curious(X0)) <=> (generous(X0) & ~old(X0))) [input p0]
2. ! [X0] : (creative(X0) <=> (humble(X0) & ~quiet(X0))) [input p1]
3. ! [X0] : (~happy(X0) <=> (kind(X0) | patient(X0))) [in... | 0 |
Everyone who is either calm or not curious is brave and vice versa.
Everyone who is both not generous and not patient is either not quiet or not generous and vice versa.
If paul is both not old and calm then mary is either curious or funny.
Everyone who is not old or not creative is not kind and vice versa.
Everyone wh... | Mary is happy. | neutral | (![X]:((calm(X)<~>~curious(X))<=>brave(X)))&
(![X]:((~generous(X)&~patient(X))<=>(~quiet(X)<~>~generous(X))))&
(((~old(paul)&calm(paul)))=>((curious(mary)<~>funny(mary))))&
(![X]:((~old(X)|~creative(X))<=>~kind(X)))&
(![X]:(~generous(X)<=>(kind(X)<~>happy(X))))&
(((~patient(alice)<~>curious(alice)))=>(?[X]:((kind(X)&~k... | happy(mary) | [] | null | 0 |
If someone is both quiet and not rich then someone is both curious and rich and vice versa.
If susan is both creative and not humble then someone is not old or not tall.
Everyone who is not happy is either brave or generous.
Everyone who is not brave or funny is tall and vice versa.
Everyone who is humble or not rich i... | Lucy is not brave. | contradiction | ((?[X]:((quiet(X)&~rich(X))))<=>(?[X]:((curious(X)&rich(X)))))&
(((creative(susan)&~humble(susan)))=>(?[X]:((~old(X)|~tall(X)))))&
(![X]:(~happy(X)=>(brave(X)<~>generous(X))))&
(![X]:((~brave(X)|funny(X))<=>tall(X)))&
(![X]:((humble(X)|~rich(X))=>~creative(X)))&
(![X]:(~wise(X)=>(curious(X)<~>patient(X))))&
(((curious(... | ~brave(lucy) | [
"p3",
"p14",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6770127305001423574920761
% SZS output start Proof for 6770127305001423574920761
4. ! [X0] : ((funny(X0) | ~brave(X0)) <=> tall(X0)) [input p3]
15. ! [X0] : ((old(X0) | ~calm(X0)) => (patient(X0) <~> ~tall(X0))) [input p14]
18. old(lucy) & ~funny(lucy) [input p17]
22. ~patient(lucy) & ~cu... | 0 |
Everyone who is not old or patient is either not creative or not tall and vice versa. Everyone who is not humble or not happy is old. Everyone who is both not kind and not humble is not creative and vice versa. If someone is either not patient or not rich then someone is not patient or not tall. Everyone who is not ric... | Fred is not brave. | neutral | (![X]:((~old(X)|patient(X))<=>(~creative(X)<~>~tall(X))))&
(![X]:((~humble(X)|~happy(X))=>old(X)))&
(![X]:((~kind(X)&~humble(X))<=>~creative(X)))&
((?[X]:((~patient(X)<~>~rich(X))))=>(?[X]:((~patient(X)|~tall(X)))))&
(![X]:(~rich(X)<=>(~creative(X)&happy(X))))&
((old(mary))=>((~wise(paul)|~happy(paul))))&
(![X]:((~humb... | ~brave(fred) | [] | null | 0 |
Everyone who is either not kind or strong is calm.
Everyone who is creative is not old or patient and vice versa.
Everyone who is both not tall and happy is not old and vice versa.
If someone is kind then someone is either curious or not curious.
If someone is calm or not creative then mary is creative or not funny.
Ev... | Lucy is not creative. | entailment | (![X]:((~kind(X)<~>strong(X))=>calm(X)))&
(![X]:(creative(X)<=>(~old(X)|patient(X))))&
(![X]:((~tall(X)&happy(X))<=>~old(X)))&
((?[X]:(kind(X)))=>(?[X]:((curious(X)<~>~curious(X)))))&
((?[X]:((calm(X)|~creative(X))))=>((creative(mary)|~funny(mary))))&
(![X]:(~kind(X)<=>(~old(X)|patient(X))))&
(((~humble(john)<~>funny(j... | ~creative(lucy) | [
"p0",
"p1",
"p5",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2738200979254870426365056
% SZS output start Proof for 2738200979254870426365056
1. ! [X0] : ((~kind(X0) <~> strong(X0)) => calm(X0)) [input p0]
2. ! [X0] : (creative(X0) <=> (patient(X0) | ~old(X0))) [input p1]
6. ! [X0] : (~kind(X0) <=> (patient(X0) | ~old(X0))) [input p5]
12. ! [X0] : ... | 0 |
If someone is not wise then someone is either calm or not kind. Everyone who is either not kind or not funny is not generous or patient. If someone is both tall and not curious then someone is both quiet and not funny and vice versa. Everyone who is either not funny or not kind is kind and vice versa. Everyone who is e... | Alice is patient. | entailment | ((?[X]:(~wise(X)))=>(?[X]:((calm(X)<~>~kind(X)))))&
(![X]:((~kind(X)<~>~funny(X))=>(~generous(X)|patient(X))))&
((?[X]:((tall(X)&~curious(X))))<=>(?[X]:((quiet(X)&~funny(X)))))&
(![X]:((~funny(X)<~>~kind(X))<=>kind(X)))&
(![X]:((brave(X)<~>~generous(X))<=>(~brave(X)&~generous(X))))&
(![X]:((wise(X)&tall(X))=>~patient(X... | patient(alice) | [
"p1",
"p3",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2264682624926983302323208
% SZS output start Proof for 2264682624926983302323208
2. ! [X0] : ((~kind(X0) <~> ~funny(X0)) => (patient(X0) | ~generous(X0))) [input p1]
4. ! [X0] : ((~funny(X0) <~> ~kind(X0)) <=> kind(X0)) [input p3]
8. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (~curious(X0)... | 0 |
Everyone who is happy or rich is either funny or generous.
If fred is both not patient and quiet then someone is either strong or brave.
If someone is either quiet or calm then lucy is either curious or calm and vice versa.
Everyone who is humble is not strong and vice versa.
Everyone who is either generous or not humb... | Fred is humble. | entailment | (![X]:((happy(X)|rich(X))=>(funny(X)<~>generous(X))))&
(((~patient(fred)&quiet(fred)))=>(?[X]:((strong(X)<~>brave(X)))))&
((?[X]:((quiet(X)<~>calm(X))))<=>((curious(lucy)<~>calm(lucy))))&
(![X]:(humble(X)<=>~strong(X)))&
(![X]:((generous(X)<~>~humble(X))<=>(creative(X)|~old(X))))&
(![X]:(brave(X)=>(calm(X)<~>humble(X))... | humble(fred) | [
"p0",
"p3",
"p4",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7289773500070974901857190
% SZS output start Proof for 7289773500070974901857190
1. ! [X0] : ((rich(X0) | happy(X0)) => (funny(X0) <~> generous(X0))) [input p0]
4. ! [X0] : (humble(X0) <=> ~strong(X0)) [input p3]
5. ! [X0] : ((generous(X0) <~> ~humble(X0)) <=> (~old(X0) | creative(X0))) [... | 0 |
If someone is not rich then lucy is old or not tall and vice versa.
Everyone who is not patient is both generous and not creative and vice versa.
Everyone who is either not quiet or kind is generous or brave and vice versa.
If someone is not rich then someone is not generous or quiet.
Everyone who is both not strong an... | Paul is kind. | entailment | ((?[X]:(~rich(X)))<=>((old(lucy)|~tall(lucy))))&
(![X]:(~patient(X)<=>(generous(X)&~creative(X))))&
(![X]:((~quiet(X)<~>kind(X))<=>(generous(X)|brave(X))))&
((?[X]:(~rich(X)))=>(?[X]:((~generous(X)|quiet(X)))))&
(![X]:((~strong(X)&~quiet(X))<=>~creative(X)))&
(((~generous(mary)<~>quiet(mary)))=>((~brave(fred)&kind(fred... | kind(paul) | [
"p4",
"p9",
"p13",
"p14",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2070241011174920867827018
% SZS output start Proof for 2070241011174920867827018
5. ! [X0] : ((~quiet(X0) & ~strong(X0)) <=> ~creative(X0)) [input p4]
10. ! [X0] : ((~calm(X0) | ~rich(X0)) <=> (~curious(X0) | ~kind(X0))) [input p9]
14. ! [X0] : ((creative(X0) | happy(X0)) <=> (~rich(X0) <... | 0 |
Everyone who is both not happy and old is strong.
Everyone who is humble or not generous is not brave or humble and vice versa.
Everyone who is both not wise and curious is rich or creative and vice versa.
If susan is both not brave and not wise then someone is both strong and funny.
Everyone who is either funny or old... | Alice is old. | neutral | (![X]:((~happy(X)&old(X))=>strong(X)))&
(![X]:((humble(X)|~generous(X))<=>(~brave(X)|humble(X))))&
(![X]:((~wise(X)&curious(X))<=>(rich(X)|creative(X))))&
(((~brave(susan)&~wise(susan)))=>(?[X]:((strong(X)&funny(X)))))&
(![X]:((funny(X)<~>old(X))=>(~old(X)<~>~humble(X))))&
((?[X]:((~humble(X)|strong(X))))<=>(~patient(l... | old(alice) | [] | null | 0 |
If fred is both calm and not brave then someone is either humble or not generous and vice versa. If lucy is happy or brave then mary is either not generous or rich. Everyone who is quiet or humble is either old or not wise and vice versa. Everyone who is not curious or not brave is not kind and vice versa. If someone i... | Lucy is not old. | neutral | (((calm(fred)&~brave(fred)))<=>(?[X]:((humble(X)<~>~generous(X)))))&
(((happy(lucy)|brave(lucy)))=>((~generous(mary)<~>rich(mary))))&
(![X]:((quiet(X)|humble(X))<=>(old(X)<~>~wise(X))))&
(![X]:((~curious(X)|~brave(X))<=>~kind(X)))&
((?[X]:((curious(X)&tall(X))))=>((rich(paul)|~calm(paul))))&
(((rich(mary)&quiet(mary)))... | ~old(lucy) | [] | null | 0 |
Everyone who is both not generous and wise is either not curious or not calm and vice versa.
If someone is not generous or not quiet then lucy is not tall.
Everyone who is either not happy or not curious is either kind or generous and vice versa.
Everyone who is humble is creative or calm and vice versa.
Everyone who i... | Lucy is humble. | entailment | (![X]:((~generous(X)&wise(X))<=>(~curious(X)<~>~calm(X))))&
((?[X]:((~generous(X)|~quiet(X))))=>(~tall(lucy)))&
(![X]:((~happy(X)<~>~curious(X))<=>(kind(X)<~>generous(X))))&
(![X]:(humble(X)<=>(creative(X)|calm(X))))&
(![X]:((~humble(X)&creative(X))=>quiet(X)))&
(![X]:((old(X)|~curious(X))=>(~old(X)&~tall(X))))&
(![X]:... | humble(lucy) | [
"p3",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2127940654206571131493147
% SZS output start Proof for 2127940654206571131493147
4. ! [X0] : (humble(X0) <=> (calm(X0) | creative(X0))) [input p3]
6. ! [X0] : ((~curious(X0) | old(X0)) => (~tall(X0) & ~old(X0))) [input p5]
8. ! [X0] : ((~old(X0) | ~calm(X0)) <=> (curious(X0) & calm(X0))) ... | 0 |
Everyone who is not kind is brave.
If someone is rich then john is either kind or not patient.
Everyone who is not happy is not kind or not calm.
If someone is kind then alice is either not calm or not strong and vice versa.
If someone is either not happy or not brave then fred is generous or not calm and vice versa.
I... | Alice is calm. | contradiction | (![X]:(~kind(X)=>brave(X)))&
((?[X]:(rich(X)))=>((kind(john)<~>~patient(john))))&
(![X]:(~happy(X)=>(~kind(X)|~calm(X))))&
((?[X]:(kind(X)))<=>((~calm(alice)<~>~strong(alice))))&
((?[X]:((~happy(X)<~>~brave(X))))<=>((generous(fred)|~calm(fred))))&
((?[X]:((~creative(X)|happy(X))))=>(?[X]:((~rich(X)&happy(X)))))&
(![X]:... | calm(alice) | [
"p2",
"p3",
"p6",
"p9",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3826777261815060521551480
% SZS output start Proof for 3826777261815060521551480
3. ! [X0] : (~happy(X0) => (~calm(X0) | ~kind(X0))) [input p2]
4. ? [X0] : kind(X0) <=> (~calm(alice) <~> ~strong(alice)) [input p3]
7. ! [X0] : (strong(X0) <=> (tall(X0) | ~calm(X0))) [input p6]
10. ! [X0] :... | 0 |
Everyone who is curious is both not old and not tall.
If fred is not tall or not happy then someone is quiet and vice versa.
Everyone who is both rich and not wise is not wise and vice versa.
Everyone who is patient or calm is funny or not wise and vice versa.
Everyone who is both calm and not quiet is brave or calm an... | John is not curious. | entailment | (![X]:(curious(X)=>(~old(X)&~tall(X))))&
(((~tall(fred)|~happy(fred)))<=>(?[X]:(quiet(X))))&
(![X]:((rich(X)&~wise(X))<=>~wise(X)))&
(![X]:((patient(X)|calm(X))<=>(funny(X)|~wise(X))))&
(![X]:((calm(X)&~quiet(X))<=>(brave(X)|calm(X))))&
(![X]:((~calm(X)&creative(X))=>(~rich(X)&~generous(X))))&
((~curious(susan))<=>(?[X... | ~curious(john) | [
"p4",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6990347191774406299388325
% SZS output start Proof for 6990347191774406299388325
5. ! [X0] : ((~quiet(X0) & calm(X0)) <=> (calm(X0) | brave(X0))) [input p4]
9. ! [X0] : ((curious(X0) | ~kind(X0)) => (~wise(X0) & brave(X0))) [input p8]
23. quiet(john) [input p22]
24. curious(john) [input h... | 0 |
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